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Finding the Third Proportional to 664,283 and 1,031,417

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Solution

The third proportional to 664,283 and 1,031,417 is: 1,601,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,283 : 1,031,417 = 1,031,417 : x
  2. Step 2: Convert to fraction form
    664,283/1,031,417 = 1,031,417/x
  3. Step 3: Cross multiply
    664,283x = 1,031,417 × 1,031,417
  4. Step 4: Simplify right side
    664,283x = 1,063,821,027,889
  5. Step 5: Solve for x
    x = 1,063,821,027,889/664,283
  6. Step 6: Final answer
    x = 1,601,457.55

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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.