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Finding the Third Proportional to 1,209,281.25 and 1,748,106

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Solution

The third proportional to 1,209,281.25 and 1,748,106 is: 2,527,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,281.25 : 1,748,106 = 1,748,106 : x
  2. Step 2: Convert to fraction form
    1,209,281.25/1,748,106 = 1,748,106/x
  3. Step 3: Cross multiply
    1,209,281.25x = 1,748,106 × 1,748,106
  4. Step 4: Simplify right side
    1,209,281.25x = 3,055,874,587,236
  5. Step 5: Solve for x
    x = 3,055,874,587,236/1,209,281.25
  6. Step 6: Final answer
    x = 2,527,017.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.