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Finding the Third Proportional to 719,281.13 and 1,574,017.88

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Solution

The third proportional to 719,281.13 and 1,574,017.88 is: 3,444,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,281.13 : 1,574,017.88 = 1,574,017.88 : x
  2. Step 2: Convert to fraction form
    719,281.13/1,574,017.88 = 1,574,017.88/x
  3. Step 3: Cross multiply
    719,281.13x = 1,574,017.88 × 1,574,017.88
  4. Step 4: Simplify right side
    719,281.13x = 2,477,532,270,819.52
  5. Step 5: Solve for x
    x = 2,477,532,270,819.52/719,281.13
  6. Step 6: Final answer
    x = 3,444,456.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.