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Finding the Third Proportional to 614,240 and 947,602

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Solution

The third proportional to 614,240 and 947,602 is: 1,461,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,240 : 947,602 = 947,602 : x
  2. Step 2: Convert to fraction form
    614,240/947,602 = 947,602/x
  3. Step 3: Cross multiply
    614,240x = 947,602 × 947,602
  4. Step 4: Simplify right side
    614,240x = 897,949,550,404
  5. Step 5: Solve for x
    x = 897,949,550,404/614,240
  6. Step 6: Final answer
    x = 1,461,887.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.