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Finding the Third Proportional to 686,336 and 1,034,544

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Solution

The third proportional to 686,336 and 1,034,544 is: 1,559,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,336 : 1,034,544 = 1,034,544 : x
  2. Step 2: Convert to fraction form
    686,336/1,034,544 = 1,034,544/x
  3. Step 3: Cross multiply
    686,336x = 1,034,544 × 1,034,544
  4. Step 4: Simplify right side
    686,336x = 1,070,281,287,936
  5. Step 5: Solve for x
    x = 1,070,281,287,936/686,336
  6. Step 6: Final answer
    x = 1,559,413.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.