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Finding the Third Proportional to 788,347 and 1,217,982

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Solution

The third proportional to 788,347 and 1,217,982 is: 1,881,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,347 : 1,217,982 = 1,217,982 : x
  2. Step 2: Convert to fraction form
    788,347/1,217,982 = 1,217,982/x
  3. Step 3: Cross multiply
    788,347x = 1,217,982 × 1,217,982
  4. Step 4: Simplify right side
    788,347x = 1,483,480,152,324
  5. Step 5: Solve for x
    x = 1,483,480,152,324/788,347
  6. Step 6: Final answer
    x = 1,881,760.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.