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Finding the Third Proportional to 601,506,216 and 957,114,614.81

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Solution

The third proportional to 601,506,216 and 957,114,614.81 is: 1,522,957,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,216 : 957,114,614.81 = 957,114,614.81 : x
  2. Step 2: Convert to fraction form
    601,506,216/957,114,614.81 = 957,114,614.81/x
  3. Step 3: Cross multiply
    601,506,216x = 957,114,614.81 × 957,114,614.81
  4. Step 4: Simplify right side
    601,506,216x = 916,068,385,887,680,256
  5. Step 5: Solve for x
    x = 916,068,385,887,680,256/601,506,216
  6. Step 6: Final answer
    x = 1,522,957,471.63

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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.