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Finding the Third Proportional to 462,051 and 930,970.13

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Solution

The third proportional to 462,051 and 930,970.13 is: 1,875,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,051 : 930,970.13 = 930,970.13 : x
  2. Step 2: Convert to fraction form
    462,051/930,970.13 = 930,970.13/x
  3. Step 3: Cross multiply
    462,051x = 930,970.13 × 930,970.13
  4. Step 4: Simplify right side
    462,051x = 866,705,373,642.52
  5. Step 5: Solve for x
    x = 866,705,373,642.52/462,051
  6. Step 6: Final answer
    x = 1,875,778.59

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.