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Finding the Third Proportional to 870,772 and 1,319,280

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Solution

The third proportional to 870,772 and 1,319,280 is: 1,998,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,772 : 1,319,280 = 1,319,280 : x
  2. Step 2: Convert to fraction form
    870,772/1,319,280 = 1,319,280/x
  3. Step 3: Cross multiply
    870,772x = 1,319,280 × 1,319,280
  4. Step 4: Simplify right side
    870,772x = 1,740,499,718,400
  5. Step 5: Solve for x
    x = 1,740,499,718,400/870,772
  6. Step 6: Final answer
    x = 1,998,800.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.