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Finding the Third Proportional to 702,411 and 1,488,412

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Solution

The third proportional to 702,411 and 1,488,412 is: 3,153,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,411 : 1,488,412 = 1,488,412 : x
  2. Step 2: Convert to fraction form
    702,411/1,488,412 = 1,488,412/x
  3. Step 3: Cross multiply
    702,411x = 1,488,412 × 1,488,412
  4. Step 4: Simplify right side
    702,411x = 2,215,370,281,744
  5. Step 5: Solve for x
    x = 2,215,370,281,744/702,411
  6. Step 6: Final answer
    x = 3,153,951.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.