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Finding the Third Proportional to 857,547 and 1,260,630

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Solution

The third proportional to 857,547 and 1,260,630 is: 1,853,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,547 : 1,260,630 = 1,260,630 : x
  2. Step 2: Convert to fraction form
    857,547/1,260,630 = 1,260,630/x
  3. Step 3: Cross multiply
    857,547x = 1,260,630 × 1,260,630
  4. Step 4: Simplify right side
    857,547x = 1,589,187,996,900
  5. Step 5: Solve for x
    x = 1,589,187,996,900/857,547
  6. Step 6: Final answer
    x = 1,853,178.89

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Why These Related Problems?

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