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Finding the Third Proportional to 1,145,924 and 2,385,984

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Solution

The third proportional to 1,145,924 and 2,385,984 is: 4,967,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,924 : 2,385,984 = 2,385,984 : x
  2. Step 2: Convert to fraction form
    1,145,924/2,385,984 = 2,385,984/x
  3. Step 3: Cross multiply
    1,145,924x = 2,385,984 × 2,385,984
  4. Step 4: Simplify right side
    1,145,924x = 5,692,919,648,256
  5. Step 5: Solve for x
    x = 5,692,919,648,256/1,145,924
  6. Step 6: Final answer
    x = 4,967,973.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.