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Finding the Third Proportional to 870,964,794 and 1,290,120,534

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Solution

The third proportional to 870,964,794 and 1,290,120,534 is: 1,910,996,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,964,794 : 1,290,120,534 = 1,290,120,534 : x
  2. Step 2: Convert to fraction form
    870,964,794/1,290,120,534 = 1,290,120,534/x
  3. Step 3: Cross multiply
    870,964,794x = 1,290,120,534 × 1,290,120,534
  4. Step 4: Simplify right side
    870,964,794x = 1,664,410,992,248,445,184
  5. Step 5: Solve for x
    x = 1,664,410,992,248,445,184/870,964,794
  6. Step 6: Final answer
    x = 1,910,996,866.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.