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Finding the Third Proportional to 1,248,348.90 and 2,686,300.14

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Solution

The third proportional to 1,248,348.90 and 2,686,300.14 is: 5,780,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,348.90 : 2,686,300.14 = 2,686,300.14 : x
  2. Step 2: Convert to fraction form
    1,248,348.90/2,686,300.14 = 2,686,300.14/x
  3. Step 3: Cross multiply
    1,248,348.90x = 2,686,300.14 × 2,686,300.14
  4. Step 4: Simplify right side
    1,248,348.90x = 7,216,208,424,535.44
  5. Step 5: Solve for x
    x = 7,216,208,424,535.44/1,248,348.90
  6. Step 6: Final answer
    x = 5,780,602.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.