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Finding the Third Proportional to 614,127 and 1,333,152

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Solution

The third proportional to 614,127 and 1,333,152 is: 2,894,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,127 : 1,333,152 = 1,333,152 : x
  2. Step 2: Convert to fraction form
    614,127/1,333,152 = 1,333,152/x
  3. Step 3: Cross multiply
    614,127x = 1,333,152 × 1,333,152
  4. Step 4: Simplify right side
    614,127x = 1,777,294,255,104
  5. Step 5: Solve for x
    x = 1,777,294,255,104/614,127
  6. Step 6: Final answer
    x = 2,894,017.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.