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Finding the Third Proportional to 847,666.13 and 1,271,500.88

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Solution

The third proportional to 847,666.13 and 1,271,500.88 is: 1,907,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,666.13 : 1,271,500.88 = 1,271,500.88 : x
  2. Step 2: Convert to fraction form
    847,666.13/1,271,500.88 = 1,271,500.88/x
  3. Step 3: Cross multiply
    847,666.13x = 1,271,500.88 × 1,271,500.88
  4. Step 4: Simplify right side
    847,666.13x = 1,616,714,475,125.77
  5. Step 5: Solve for x
    x = 1,616,714,475,125.77/847,666.13
  6. Step 6: Final answer
    x = 1,907,253.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.