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Finding the Third Proportional to 721,370 and 1,567,156

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Solution

The third proportional to 721,370 and 1,567,156 is: 3,404,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,370 : 1,567,156 = 1,567,156 : x
  2. Step 2: Convert to fraction form
    721,370/1,567,156 = 1,567,156/x
  3. Step 3: Cross multiply
    721,370x = 1,567,156 × 1,567,156
  4. Step 4: Simplify right side
    721,370x = 2,455,977,928,336
  5. Step 5: Solve for x
    x = 2,455,977,928,336/721,370
  6. Step 6: Final answer
    x = 3,404,602.25

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