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Finding the Third Proportional to 675,902 and 1,046,207

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Solution

The third proportional to 675,902 and 1,046,207 is: 1,619,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,902 : 1,046,207 = 1,046,207 : x
  2. Step 2: Convert to fraction form
    675,902/1,046,207 = 1,046,207/x
  3. Step 3: Cross multiply
    675,902x = 1,046,207 × 1,046,207
  4. Step 4: Simplify right side
    675,902x = 1,094,549,086,849
  5. Step 5: Solve for x
    x = 1,094,549,086,849/675,902
  6. Step 6: Final answer
    x = 1,619,390.22

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