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Finding the Third Proportional to 776,074 and 1,159,332

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Solution

The third proportional to 776,074 and 1,159,332 is: 1,731,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,074 : 1,159,332 = 1,159,332 : x
  2. Step 2: Convert to fraction form
    776,074/1,159,332 = 1,159,332/x
  3. Step 3: Cross multiply
    776,074x = 1,159,332 × 1,159,332
  4. Step 4: Simplify right side
    776,074x = 1,344,050,686,224
  5. Step 5: Solve for x
    x = 1,344,050,686,224/776,074
  6. Step 6: Final answer
    x = 1,731,858.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.