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Finding the Third Proportional to 700,902 and 1,098,072

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Solution

The third proportional to 700,902 and 1,098,072 is: 1,720,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,902 : 1,098,072 = 1,098,072 : x
  2. Step 2: Convert to fraction form
    700,902/1,098,072 = 1,098,072/x
  3. Step 3: Cross multiply
    700,902x = 1,098,072 × 1,098,072
  4. Step 4: Simplify right side
    700,902x = 1,205,762,117,184
  5. Step 5: Solve for x
    x = 1,205,762,117,184/700,902
  6. Step 6: Final answer
    x = 1,720,300.58

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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.