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Finding the Third Proportional to 688,216 and 1,487,132

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Solution

The third proportional to 688,216 and 1,487,132 is: 3,213,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,216 : 1,487,132 = 1,487,132 : x
  2. Step 2: Convert to fraction form
    688,216/1,487,132 = 1,487,132/x
  3. Step 3: Cross multiply
    688,216x = 1,487,132 × 1,487,132
  4. Step 4: Simplify right side
    688,216x = 2,211,561,585,424
  5. Step 5: Solve for x
    x = 2,211,561,585,424/688,216
  6. Step 6: Final answer
    x = 3,213,470.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.