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Finding the Third Proportional to 645,960 and 924,654

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Solution

The third proportional to 645,960 and 924,654 is: 1,323,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,960 : 924,654 = 924,654 : x
  2. Step 2: Convert to fraction form
    645,960/924,654 = 924,654/x
  3. Step 3: Cross multiply
    645,960x = 924,654 × 924,654
  4. Step 4: Simplify right side
    645,960x = 854,985,019,716
  5. Step 5: Solve for x
    x = 854,985,019,716/645,960
  6. Step 6: Final answer
    x = 1,323,588.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.