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Finding the Third Proportional to 724,335,456 and 1,569,004,320

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Solution

The third proportional to 724,335,456 and 1,569,004,320 is: 3,398,666,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,456 : 1,569,004,320 = 1,569,004,320 : x
  2. Step 2: Convert to fraction form
    724,335,456/1,569,004,320 = 1,569,004,320/x
  3. Step 3: Cross multiply
    724,335,456x = 1,569,004,320 × 1,569,004,320
  4. Step 4: Simplify right side
    724,335,456x = 2,461,774,556,178,662,400
  5. Step 5: Solve for x
    x = 2,461,774,556,178,662,400/724,335,456
  6. Step 6: Final answer
    x = 3,398,666,371.76

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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.