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Finding the Third Proportional to 688,404 and 1,482,272

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Solution

The third proportional to 688,404 and 1,482,272 is: 3,191,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,404 : 1,482,272 = 1,482,272 : x
  2. Step 2: Convert to fraction form
    688,404/1,482,272 = 1,482,272/x
  3. Step 3: Cross multiply
    688,404x = 1,482,272 × 1,482,272
  4. Step 4: Simplify right side
    688,404x = 2,197,130,281,984
  5. Step 5: Solve for x
    x = 2,197,130,281,984/688,404
  6. Step 6: Final answer
    x = 3,191,629.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.