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Finding the Third Proportional to 700,598 and 1,087,023

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Solution

The third proportional to 700,598 and 1,087,023 is: 1,686,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,598 : 1,087,023 = 1,087,023 : x
  2. Step 2: Convert to fraction form
    700,598/1,087,023 = 1,087,023/x
  3. Step 3: Cross multiply
    700,598x = 1,087,023 × 1,087,023
  4. Step 4: Simplify right side
    700,598x = 1,181,619,002,529
  5. Step 5: Solve for x
    x = 1,181,619,002,529/700,598
  6. Step 6: Final answer
    x = 1,686,586.32

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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.