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Finding the Third Proportional to 725,572 and 1,144,004

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Solution

The third proportional to 725,572 and 1,144,004 is: 1,803,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,572 : 1,144,004 = 1,144,004 : x
  2. Step 2: Convert to fraction form
    725,572/1,144,004 = 1,144,004/x
  3. Step 3: Cross multiply
    725,572x = 1,144,004 × 1,144,004
  4. Step 4: Simplify right side
    725,572x = 1,308,745,152,016
  5. Step 5: Solve for x
    x = 1,308,745,152,016/725,572
  6. Step 6: Final answer
    x = 1,803,742.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.