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Finding the Third Proportional to 732,571 and 1,570,271

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Solution

The third proportional to 732,571 and 1,570,271 is: 3,365,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,571 : 1,570,271 = 1,570,271 : x
  2. Step 2: Convert to fraction form
    732,571/1,570,271 = 1,570,271/x
  3. Step 3: Cross multiply
    732,571x = 1,570,271 × 1,570,271
  4. Step 4: Simplify right side
    732,571x = 2,465,751,013,441
  5. Step 5: Solve for x
    x = 2,465,751,013,441/732,571
  6. Step 6: Final answer
    x = 3,365,886.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.