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Finding the Third Proportional to 669,509 and 1,034,417

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Solution

The third proportional to 669,509 and 1,034,417 is: 1,598,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,509 : 1,034,417 = 1,034,417 : x
  2. Step 2: Convert to fraction form
    669,509/1,034,417 = 1,034,417/x
  3. Step 3: Cross multiply
    669,509x = 1,034,417 × 1,034,417
  4. Step 4: Simplify right side
    669,509x = 1,070,018,529,889
  5. Step 5: Solve for x
    x = 1,070,018,529,889/669,509
  6. Step 6: Final answer
    x = 1,598,213.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.