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Finding the Third Proportional to 731,544,435 and 1,114,466,941

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Solution

The third proportional to 731,544,435 and 1,114,466,941 is: 1,697,827,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,544,435 : 1,114,466,941 = 1,114,466,941 : x
  2. Step 2: Convert to fraction form
    731,544,435/1,114,466,941 = 1,114,466,941/x
  3. Step 3: Cross multiply
    731,544,435x = 1,114,466,941 × 1,114,466,941
  4. Step 4: Simplify right side
    731,544,435x = 1,242,036,562,581,897,472
  5. Step 5: Solve for x
    x = 1,242,036,562,581,897,472/731,544,435
  6. Step 6: Final answer
    x = 1,697,827,914.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.