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Finding the Third Proportional to 917,318.25 and 1,349,014.50

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Solution

The third proportional to 917,318.25 and 1,349,014.50 is: 1,983,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,318.25 : 1,349,014.50 = 1,349,014.50 : x
  2. Step 2: Convert to fraction form
    917,318.25/1,349,014.50 = 1,349,014.50/x
  3. Step 3: Cross multiply
    917,318.25x = 1,349,014.50 × 1,349,014.50
  4. Step 4: Simplify right side
    917,318.25x = 1,819,840,121,210.25
  5. Step 5: Solve for x
    x = 1,819,840,121,210.25/917,318.25
  6. Step 6: Final answer
    x = 1,983,869.96

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Why These Related Problems?

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