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Finding the Third Proportional to 433,248 and 1,012,281

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Solution

The third proportional to 433,248 and 1,012,281 is: 2,365,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,248 : 1,012,281 = 1,012,281 : x
  2. Step 2: Convert to fraction form
    433,248/1,012,281 = 1,012,281/x
  3. Step 3: Cross multiply
    433,248x = 1,012,281 × 1,012,281
  4. Step 4: Simplify right side
    433,248x = 1,024,712,822,961
  5. Step 5: Solve for x
    x = 1,024,712,822,961/433,248
  6. Step 6: Final answer
    x = 2,365,187.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.