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Finding the Third Proportional to 700,498 and 1,109,392

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Solution

The third proportional to 700,498 and 1,109,392 is: 1,756,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,498 : 1,109,392 = 1,109,392 : x
  2. Step 2: Convert to fraction form
    700,498/1,109,392 = 1,109,392/x
  3. Step 3: Cross multiply
    700,498x = 1,109,392 × 1,109,392
  4. Step 4: Simplify right side
    700,498x = 1,230,750,609,664
  5. Step 5: Solve for x
    x = 1,230,750,609,664/700,498
  6. Step 6: Final answer
    x = 1,756,965.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.