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Finding the Third Proportional to 847,089 and 1,242,377

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Solution

The third proportional to 847,089 and 1,242,377 is: 1,822,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,089 : 1,242,377 = 1,242,377 : x
  2. Step 2: Convert to fraction form
    847,089/1,242,377 = 1,242,377/x
  3. Step 3: Cross multiply
    847,089x = 1,242,377 × 1,242,377
  4. Step 4: Simplify right side
    847,089x = 1,543,500,610,129
  5. Step 5: Solve for x
    x = 1,543,500,610,129/847,089
  6. Step 6: Final answer
    x = 1,822,123.31

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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.