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Finding the Third Proportional to 870,843 and 1,280,658

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Solution

The third proportional to 870,843 and 1,280,658 is: 1,883,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,843 : 1,280,658 = 1,280,658 : x
  2. Step 2: Convert to fraction form
    870,843/1,280,658 = 1,280,658/x
  3. Step 3: Cross multiply
    870,843x = 1,280,658 × 1,280,658
  4. Step 4: Simplify right side
    870,843x = 1,640,084,912,964
  5. Step 5: Solve for x
    x = 1,640,084,912,964/870,843
  6. Step 6: Final answer
    x = 1,883,330.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.