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Finding the Third Proportional to 802,405.13 and 1,748,746.13

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Solution

The third proportional to 802,405.13 and 1,748,746.13 is: 3,811,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,405.13 : 1,748,746.13 = 1,748,746.13 : x
  2. Step 2: Convert to fraction form
    802,405.13/1,748,746.13 = 1,748,746.13/x
  3. Step 3: Cross multiply
    802,405.13x = 1,748,746.13 × 1,748,746.13
  4. Step 4: Simplify right side
    802,405.13x = 3,058,113,009,702.52
  5. Step 5: Solve for x
    x = 3,058,113,009,702.52/802,405.13
  6. Step 6: Final answer
    x = 3,811,183.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.