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Finding the Third Proportional to 907,877 and 1,272,364

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Solution

The third proportional to 907,877 and 1,272,364 is: 1,783,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,877 : 1,272,364 = 1,272,364 : x
  2. Step 2: Convert to fraction form
    907,877/1,272,364 = 1,272,364/x
  3. Step 3: Cross multiply
    907,877x = 1,272,364 × 1,272,364
  4. Step 4: Simplify right side
    907,877x = 1,618,910,148,496
  5. Step 5: Solve for x
    x = 1,618,910,148,496/907,877
  6. Step 6: Final answer
    x = 1,783,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.