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Finding the Third Proportional to 724,335,436 and 1,569,004,284

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Solution

The third proportional to 724,335,436 and 1,569,004,284 is: 3,398,666,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,436 : 1,569,004,284 = 1,569,004,284 : x
  2. Step 2: Convert to fraction form
    724,335,436/1,569,004,284 = 1,569,004,284/x
  3. Step 3: Cross multiply
    724,335,436x = 1,569,004,284 × 1,569,004,284
  4. Step 4: Simplify right side
    724,335,436x = 2,461,774,443,210,352,640
  5. Step 5: Solve for x
    x = 2,461,774,443,210,352,640/724,335,436
  6. Step 6: Final answer
    x = 3,398,666,309.64

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