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Finding the Third Proportional to 923,304 and 1,418,307.50

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Solution

The third proportional to 923,304 and 1,418,307.50 is: 2,178,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,304 : 1,418,307.50 = 1,418,307.50 : x
  2. Step 2: Convert to fraction form
    923,304/1,418,307.50 = 1,418,307.50/x
  3. Step 3: Cross multiply
    923,304x = 1,418,307.50 × 1,418,307.50
  4. Step 4: Simplify right side
    923,304x = 2,011,596,164,556.25
  5. Step 5: Solve for x
    x = 2,011,596,164,556.25/923,304
  6. Step 6: Final answer
    x = 2,178,693.22

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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.