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Finding the Third Proportional to 442,220 and 1,039,540

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Solution

The third proportional to 442,220 and 1,039,540 is: 2,443,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,220 : 1,039,540 = 1,039,540 : x
  2. Step 2: Convert to fraction form
    442,220/1,039,540 = 1,039,540/x
  3. Step 3: Cross multiply
    442,220x = 1,039,540 × 1,039,540
  4. Step 4: Simplify right side
    442,220x = 1,080,643,411,600
  5. Step 5: Solve for x
    x = 1,080,643,411,600/442,220
  6. Step 6: Final answer
    x = 2,443,678.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.