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Finding the Third Proportional to 932,850 and 1,440,501

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Solution

The third proportional to 932,850 and 1,440,501 is: 2,224,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,850 : 1,440,501 = 1,440,501 : x
  2. Step 2: Convert to fraction form
    932,850/1,440,501 = 1,440,501/x
  3. Step 3: Cross multiply
    932,850x = 1,440,501 × 1,440,501
  4. Step 4: Simplify right side
    932,850x = 2,075,043,131,001
  5. Step 5: Solve for x
    x = 2,075,043,131,001/932,850
  6. Step 6: Final answer
    x = 2,224,412.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.