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Finding the Third Proportional to 916,677 and 1,973,778

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Solution

The third proportional to 916,677 and 1,973,778 is: 4,249,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,677 : 1,973,778 = 1,973,778 : x
  2. Step 2: Convert to fraction form
    916,677/1,973,778 = 1,973,778/x
  3. Step 3: Cross multiply
    916,677x = 1,973,778 × 1,973,778
  4. Step 4: Simplify right side
    916,677x = 3,895,799,593,284
  5. Step 5: Solve for x
    x = 3,895,799,593,284/916,677
  6. Step 6: Final answer
    x = 4,249,915.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.