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Finding the Third Proportional to 923,312 and 1,418,320

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Solution

The third proportional to 923,312 and 1,418,320 is: 2,178,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,312 : 1,418,320 = 1,418,320 : x
  2. Step 2: Convert to fraction form
    923,312/1,418,320 = 1,418,320/x
  3. Step 3: Cross multiply
    923,312x = 1,418,320 × 1,418,320
  4. Step 4: Simplify right side
    923,312x = 2,011,631,622,400
  5. Step 5: Solve for x
    x = 2,011,631,622,400/923,312
  6. Step 6: Final answer
    x = 2,178,712.75

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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.