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Finding the Third Proportional to 932,848 and 1,440,498

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Solution

The third proportional to 932,848 and 1,440,498 is: 2,224,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,848 : 1,440,498 = 1,440,498 : x
  2. Step 2: Convert to fraction form
    932,848/1,440,498 = 1,440,498/x
  3. Step 3: Cross multiply
    932,848x = 1,440,498 × 1,440,498
  4. Step 4: Simplify right side
    932,848x = 2,075,034,488,004
  5. Step 5: Solve for x
    x = 2,075,034,488,004/932,848
  6. Step 6: Final answer
    x = 2,224,407.93

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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.