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Finding the Third Proportional to 857,570 and 1,260,663

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Solution

The third proportional to 857,570 and 1,260,663 is: 1,853,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,570 : 1,260,663 = 1,260,663 : x
  2. Step 2: Convert to fraction form
    857,570/1,260,663 = 1,260,663/x
  3. Step 3: Cross multiply
    857,570x = 1,260,663 × 1,260,663
  4. Step 4: Simplify right side
    857,570x = 1,589,271,199,569
  5. Step 5: Solve for x
    x = 1,589,271,199,569/857,570
  6. Step 6: Final answer
    x = 1,853,226.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.