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Finding the Third Proportional to 870,888 and 1,319,460

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Solution

The third proportional to 870,888 and 1,319,460 is: 1,999,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,888 : 1,319,460 = 1,319,460 : x
  2. Step 2: Convert to fraction form
    870,888/1,319,460 = 1,319,460/x
  3. Step 3: Cross multiply
    870,888x = 1,319,460 × 1,319,460
  4. Step 4: Simplify right side
    870,888x = 1,740,974,691,600
  5. Step 5: Solve for x
    x = 1,740,974,691,600/870,888
  6. Step 6: Final answer
    x = 1,999,079.90

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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.