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Finding the Third Proportional to 724,335,418 and 1,569,004,242

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Solution

The third proportional to 724,335,418 and 1,569,004,242 is: 3,398,666,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,418 : 1,569,004,242 = 1,569,004,242 : x
  2. Step 2: Convert to fraction form
    724,335,418/1,569,004,242 = 1,569,004,242/x
  3. Step 3: Cross multiply
    724,335,418x = 1,569,004,242 × 1,569,004,242
  4. Step 4: Simplify right side
    724,335,418x = 2,461,774,311,413,994,496
  5. Step 5: Solve for x
    x = 2,461,774,311,413,994,496/724,335,418
  6. Step 6: Final answer
    x = 3,398,666,212.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.