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Finding the Third Proportional to 830,109 and 1,282,020

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Solution

The third proportional to 830,109 and 1,282,020 is: 1,979,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,109 : 1,282,020 = 1,282,020 : x
  2. Step 2: Convert to fraction form
    830,109/1,282,020 = 1,282,020/x
  3. Step 3: Cross multiply
    830,109x = 1,282,020 × 1,282,020
  4. Step 4: Simplify right side
    830,109x = 1,643,575,280,400
  5. Step 5: Solve for x
    x = 1,643,575,280,400/830,109
  6. Step 6: Final answer
    x = 1,979,951.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.