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Finding the Third Proportional to 1,974,924 and 4,249,548

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Solution

The third proportional to 1,974,924 and 4,249,548 is: 9,143,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,924 : 4,249,548 = 4,249,548 : x
  2. Step 2: Convert to fraction form
    1,974,924/4,249,548 = 4,249,548/x
  3. Step 3: Cross multiply
    1,974,924x = 4,249,548 × 4,249,548
  4. Step 4: Simplify right side
    1,974,924x = 18,058,658,204,304
  5. Step 5: Solve for x
    x = 18,058,658,204,304/1,974,924
  6. Step 6: Final answer
    x = 9,143,976.28

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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.