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Finding the Third Proportional to 692,712 and 1,439,856

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Solution

The third proportional to 692,712 and 1,439,856 is: 2,992,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,712 : 1,439,856 = 1,439,856 : x
  2. Step 2: Convert to fraction form
    692,712/1,439,856 = 1,439,856/x
  3. Step 3: Cross multiply
    692,712x = 1,439,856 × 1,439,856
  4. Step 4: Simplify right side
    692,712x = 2,073,185,300,736
  5. Step 5: Solve for x
    x = 2,073,185,300,736/692,712
  6. Step 6: Final answer
    x = 2,992,853.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.