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Finding the Third Proportional to 750,069 and 1,654,362

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Solution

The third proportional to 750,069 and 1,654,362 is: 3,648,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,069 : 1,654,362 = 1,654,362 : x
  2. Step 2: Convert to fraction form
    750,069/1,654,362 = 1,654,362/x
  3. Step 3: Cross multiply
    750,069x = 1,654,362 × 1,654,362
  4. Step 4: Simplify right side
    750,069x = 2,736,913,627,044
  5. Step 5: Solve for x
    x = 2,736,913,627,044/750,069
  6. Step 6: Final answer
    x = 3,648,882.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.