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Finding the Third Proportional to 917,320 and 1,349,017

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Solution

The third proportional to 917,320 and 1,349,017 is: 1,983,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,320 : 1,349,017 = 1,349,017 : x
  2. Step 2: Convert to fraction form
    917,320/1,349,017 = 1,349,017/x
  3. Step 3: Cross multiply
    917,320x = 1,349,017 × 1,349,017
  4. Step 4: Simplify right side
    917,320x = 1,819,846,866,289
  5. Step 5: Solve for x
    x = 1,819,846,866,289/917,320
  6. Step 6: Final answer
    x = 1,983,873.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.