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Finding the Third Proportional to 714,901 and 1,571,490

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Solution

The third proportional to 714,901 and 1,571,490 is: 3,454,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,901 : 1,571,490 = 1,571,490 : x
  2. Step 2: Convert to fraction form
    714,901/1,571,490 = 1,571,490/x
  3. Step 3: Cross multiply
    714,901x = 1,571,490 × 1,571,490
  4. Step 4: Simplify right side
    714,901x = 2,469,580,820,100
  5. Step 5: Solve for x
    x = 2,469,580,820,100/714,901
  6. Step 6: Final answer
    x = 3,454,437.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.