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Finding the Third Proportional to 614,028 and 947,292

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Solution

The third proportional to 614,028 and 947,292 is: 1,461,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,028 : 947,292 = 947,292 : x
  2. Step 2: Convert to fraction form
    614,028/947,292 = 947,292/x
  3. Step 3: Cross multiply
    614,028x = 947,292 × 947,292
  4. Step 4: Simplify right side
    614,028x = 897,362,133,264
  5. Step 5: Solve for x
    x = 897,362,133,264/614,028
  6. Step 6: Final answer
    x = 1,461,435.20

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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.