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Finding the Third Proportional to 1,006,023.50 and 1,570,271

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Solution

The third proportional to 1,006,023.50 and 1,570,271 is: 2,450,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,023.50 : 1,570,271 = 1,570,271 : x
  2. Step 2: Convert to fraction form
    1,006,023.50/1,570,271 = 1,570,271/x
  3. Step 3: Cross multiply
    1,006,023.50x = 1,570,271 × 1,570,271
  4. Step 4: Simplify right side
    1,006,023.50x = 2,465,751,013,441
  5. Step 5: Solve for x
    x = 2,465,751,013,441/1,006,023.50
  6. Step 6: Final answer
    x = 2,450,987.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.