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Finding the Third Proportional to 531,425,731 and 748,038,430

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Solution

The third proportional to 531,425,731 and 748,038,430 is: 1,052,943,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,425,731 : 748,038,430 = 748,038,430 : x
  2. Step 2: Convert to fraction form
    531,425,731/748,038,430 = 748,038,430/x
  3. Step 3: Cross multiply
    531,425,731x = 748,038,430 × 748,038,430
  4. Step 4: Simplify right side
    531,425,731x = 559,561,492,756,864,896
  5. Step 5: Solve for x
    x = 559,561,492,756,864,896/531,425,731
  6. Step 6: Final answer
    x = 1,052,943,920.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.