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Finding the Third Proportional to 924,476 and 1,420,356

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Solution

The third proportional to 924,476 and 1,420,356 is: 2,182,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,476 : 1,420,356 = 1,420,356 : x
  2. Step 2: Convert to fraction form
    924,476/1,420,356 = 1,420,356/x
  3. Step 3: Cross multiply
    924,476x = 1,420,356 × 1,420,356
  4. Step 4: Simplify right side
    924,476x = 2,017,411,166,736
  5. Step 5: Solve for x
    x = 2,017,411,166,736/924,476
  6. Step 6: Final answer
    x = 2,182,221.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.