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Finding the Third Proportional to 721,416 and 1,567,248

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Solution

The third proportional to 721,416 and 1,567,248 is: 3,404,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,416 : 1,567,248 = 1,567,248 : x
  2. Step 2: Convert to fraction form
    721,416/1,567,248 = 1,567,248/x
  3. Step 3: Cross multiply
    721,416x = 1,567,248 × 1,567,248
  4. Step 4: Simplify right side
    721,416x = 2,456,266,293,504
  5. Step 5: Solve for x
    x = 2,456,266,293,504/721,416
  6. Step 6: Final answer
    x = 3,404,784.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.