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Finding the Third Proportional to 727,428 and 1,571,010

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Solution

The third proportional to 727,428 and 1,571,010 is: 3,392,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,428 : 1,571,010 = 1,571,010 : x
  2. Step 2: Convert to fraction form
    727,428/1,571,010 = 1,571,010/x
  3. Step 3: Cross multiply
    727,428x = 1,571,010 × 1,571,010
  4. Step 4: Simplify right side
    727,428x = 2,468,072,420,100
  5. Step 5: Solve for x
    x = 2,468,072,420,100/727,428
  6. Step 6: Final answer
    x = 3,392,875.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.