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Finding the Third Proportional to 601,506,194 and 957,114,583

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Solution

The third proportional to 601,506,194 and 957,114,583 is: 1,522,957,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,194 : 957,114,583 = 957,114,583 : x
  2. Step 2: Convert to fraction form
    601,506,194/957,114,583 = 957,114,583/x
  3. Step 3: Cross multiply
    601,506,194x = 957,114,583 × 957,114,583
  4. Step 4: Simplify right side
    601,506,194x = 916,068,324,991,263,872
  5. Step 5: Solve for x
    x = 916,068,324,991,263,872/601,506,194
  6. Step 6: Final answer
    x = 1,522,957,426.09

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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.