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Finding the Third Proportional to 774,032.63 and 1,748,737.13

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Solution

The third proportional to 774,032.63 and 1,748,737.13 is: 3,950,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,032.63 : 1,748,737.13 = 1,748,737.13 : x
  2. Step 2: Convert to fraction form
    774,032.63/1,748,737.13 = 1,748,737.13/x
  3. Step 3: Cross multiply
    774,032.63x = 1,748,737.13 × 1,748,737.13
  4. Step 4: Simplify right side
    774,032.63x = 3,058,081,532,353.27
  5. Step 5: Solve for x
    x = 3,058,081,532,353.27/774,032.63
  6. Step 6: Final answer
    x = 3,950,843.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.