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Finding the Third Proportional to 782,556 and 1,243,872

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Solution

The third proportional to 782,556 and 1,243,872 is: 1,977,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,556 : 1,243,872 = 1,243,872 : x
  2. Step 2: Convert to fraction form
    782,556/1,243,872 = 1,243,872/x
  3. Step 3: Cross multiply
    782,556x = 1,243,872 × 1,243,872
  4. Step 4: Simplify right side
    782,556x = 1,547,217,552,384
  5. Step 5: Solve for x
    x = 1,547,217,552,384/782,556
  6. Step 6: Final answer
    x = 1,977,133.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.