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Finding the Third Proportional to 930,780 and 1,403,928

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Solution

The third proportional to 930,780 and 1,403,928 is: 2,117,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,780 : 1,403,928 = 1,403,928 : x
  2. Step 2: Convert to fraction form
    930,780/1,403,928 = 1,403,928/x
  3. Step 3: Cross multiply
    930,780x = 1,403,928 × 1,403,928
  4. Step 4: Simplify right side
    930,780x = 1,971,013,829,184
  5. Step 5: Solve for x
    x = 1,971,013,829,184/930,780
  6. Step 6: Final answer
    x = 2,117,593.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.