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Finding the Third Proportional to 759,681 and 1,158,816

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Solution

The third proportional to 759,681 and 1,158,816 is: 1,767,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,681 : 1,158,816 = 1,158,816 : x
  2. Step 2: Convert to fraction form
    759,681/1,158,816 = 1,158,816/x
  3. Step 3: Cross multiply
    759,681x = 1,158,816 × 1,158,816
  4. Step 4: Simplify right side
    759,681x = 1,342,854,521,856
  5. Step 5: Solve for x
    x = 1,342,854,521,856/759,681
  6. Step 6: Final answer
    x = 1,767,655.79

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