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Finding the Third Proportional to 432,568 and 924,920

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Solution

The third proportional to 432,568 and 924,920 is: 1,977,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,568 : 924,920 = 924,920 : x
  2. Step 2: Convert to fraction form
    432,568/924,920 = 924,920/x
  3. Step 3: Cross multiply
    432,568x = 924,920 × 924,920
  4. Step 4: Simplify right side
    432,568x = 855,477,006,400
  5. Step 5: Solve for x
    x = 855,477,006,400/432,568
  6. Step 6: Final answer
    x = 1,977,670.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.