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Finding the Third Proportional to 1,456,924 and 3,091,373

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Solution

The third proportional to 1,456,924 and 3,091,373 is: 6,559,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,924 : 3,091,373 = 3,091,373 : x
  2. Step 2: Convert to fraction form
    1,456,924/3,091,373 = 3,091,373/x
  3. Step 3: Cross multiply
    1,456,924x = 3,091,373 × 3,091,373
  4. Step 4: Simplify right side
    1,456,924x = 9,556,587,025,129
  5. Step 5: Solve for x
    x = 9,556,587,025,129/1,456,924
  6. Step 6: Final answer
    x = 6,559,427.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.