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Finding the Third Proportional to 709,598 and 1,101,768

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Solution

The third proportional to 709,598 and 1,101,768 is: 1,710,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,598 : 1,101,768 = 1,101,768 : x
  2. Step 2: Convert to fraction form
    709,598/1,101,768 = 1,101,768/x
  3. Step 3: Cross multiply
    709,598x = 1,101,768 × 1,101,768
  4. Step 4: Simplify right side
    709,598x = 1,213,892,725,824
  5. Step 5: Solve for x
    x = 1,213,892,725,824/709,598
  6. Step 6: Final answer
    x = 1,710,676.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.