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Finding the Third Proportional to 700,891 and 1,098,046

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Solution

The third proportional to 700,891 and 1,098,046 is: 1,720,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,891 : 1,098,046 = 1,098,046 : x
  2. Step 2: Convert to fraction form
    700,891/1,098,046 = 1,098,046/x
  3. Step 3: Cross multiply
    700,891x = 1,098,046 × 1,098,046
  4. Step 4: Simplify right side
    700,891x = 1,205,705,018,116
  5. Step 5: Solve for x
    x = 1,205,705,018,116/700,891
  6. Step 6: Final answer
    x = 1,720,246.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.