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Finding the Third Proportional to 1,427,580 and 3,090,384

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Solution

The third proportional to 1,427,580 and 3,090,384 is: 6,689,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,580 : 3,090,384 = 3,090,384 : x
  2. Step 2: Convert to fraction form
    1,427,580/3,090,384 = 3,090,384/x
  3. Step 3: Cross multiply
    1,427,580x = 3,090,384 × 3,090,384
  4. Step 4: Simplify right side
    1,427,580x = 9,550,473,267,456
  5. Step 5: Solve for x
    x = 9,550,473,267,456/1,427,580
  6. Step 6: Final answer
    x = 6,689,974.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.