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Finding the Third Proportional to 601,506,194.63 and 957,114,582.75

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Solution

The third proportional to 601,506,194.63 and 957,114,582.75 is: 1,522,957,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,194.63 : 957,114,582.75 = 957,114,582.75 : x
  2. Step 2: Convert to fraction form
    601,506,194.63/957,114,582.75 = 957,114,582.75/x
  3. Step 3: Cross multiply
    601,506,194.63x = 957,114,582.75 × 957,114,582.75
  4. Step 4: Simplify right side
    601,506,194.63x = 916,068,324,512,706,560
  5. Step 5: Solve for x
    x = 916,068,324,512,706,560/601,506,194.63
  6. Step 6: Final answer
    x = 1,522,957,423.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.