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Finding the Third Proportional to 759,597 and 1,175,787

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Solution

The third proportional to 759,597 and 1,175,787 is: 1,820,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,597 : 1,175,787 = 1,175,787 : x
  2. Step 2: Convert to fraction form
    759,597/1,175,787 = 1,175,787/x
  3. Step 3: Cross multiply
    759,597x = 1,175,787 × 1,175,787
  4. Step 4: Simplify right side
    759,597x = 1,382,475,069,369
  5. Step 5: Solve for x
    x = 1,382,475,069,369/759,597
  6. Step 6: Final answer
    x = 1,820,011.23

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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.