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Finding the Third Proportional to 924,290 and 1,236,307

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Solution

The third proportional to 924,290 and 1,236,307 is: 1,653,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,290 : 1,236,307 = 1,236,307 : x
  2. Step 2: Convert to fraction form
    924,290/1,236,307 = 1,236,307/x
  3. Step 3: Cross multiply
    924,290x = 1,236,307 × 1,236,307
  4. Step 4: Simplify right side
    924,290x = 1,528,454,998,249
  5. Step 5: Solve for x
    x = 1,528,454,998,249/924,290
  6. Step 6: Final answer
    x = 1,653,653.07

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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.