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Finding the Third Proportional to 924,288 and 1,236,304

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Solution

The third proportional to 924,288 and 1,236,304 is: 1,653,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,288 : 1,236,304 = 1,236,304 : x
  2. Step 2: Convert to fraction form
    924,288/1,236,304 = 1,236,304/x
  3. Step 3: Cross multiply
    924,288x = 1,236,304 × 1,236,304
  4. Step 4: Simplify right side
    924,288x = 1,528,447,580,416
  5. Step 5: Solve for x
    x = 1,528,447,580,416/924,288
  6. Step 6: Final answer
    x = 1,653,648.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.