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Finding the Third Proportional to 614,070 and 1,328,012

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Solution

The third proportional to 614,070 and 1,328,012 is: 2,872,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,070 : 1,328,012 = 1,328,012 : x
  2. Step 2: Convert to fraction form
    614,070/1,328,012 = 1,328,012/x
  3. Step 3: Cross multiply
    614,070x = 1,328,012 × 1,328,012
  4. Step 4: Simplify right side
    614,070x = 1,763,615,872,144
  5. Step 5: Solve for x
    x = 1,763,615,872,144/614,070
  6. Step 6: Final answer
    x = 2,872,011.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.