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Finding the Third Proportional to 499,635 and 1,070,657

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Solution

The third proportional to 499,635 and 1,070,657 is: 2,294,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,635 : 1,070,657 = 1,070,657 : x
  2. Step 2: Convert to fraction form
    499,635/1,070,657 = 1,070,657/x
  3. Step 3: Cross multiply
    499,635x = 1,070,657 × 1,070,657
  4. Step 4: Simplify right side
    499,635x = 1,146,306,411,649
  5. Step 5: Solve for x
    x = 1,146,306,411,649/499,635
  6. Step 6: Final answer
    x = 2,294,287.65

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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.