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Finding the Third Proportional to 869,301 and 1,329,768

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Solution

The third proportional to 869,301 and 1,329,768 is: 2,034,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,301 : 1,329,768 = 1,329,768 : x
  2. Step 2: Convert to fraction form
    869,301/1,329,768 = 1,329,768/x
  3. Step 3: Cross multiply
    869,301x = 1,329,768 × 1,329,768
  4. Step 4: Simplify right side
    869,301x = 1,768,282,933,824
  5. Step 5: Solve for x
    x = 1,768,282,933,824/869,301
  6. Step 6: Final answer
    x = 2,034,143.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.