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Finding the Third Proportional to 700,590 and 1,087,029

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Solution

The third proportional to 700,590 and 1,087,029 is: 1,686,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,590 : 1,087,029 = 1,087,029 : x
  2. Step 2: Convert to fraction form
    700,590/1,087,029 = 1,087,029/x
  3. Step 3: Cross multiply
    700,590x = 1,087,029 × 1,087,029
  4. Step 4: Simplify right side
    700,590x = 1,181,632,046,841
  5. Step 5: Solve for x
    x = 1,181,632,046,841/700,590
  6. Step 6: Final answer
    x = 1,686,624.20

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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.