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Finding the Third Proportional to 774,490 and 1,677,649

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Solution

The third proportional to 774,490 and 1,677,649 is: 3,634,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,490 : 1,677,649 = 1,677,649 : x
  2. Step 2: Convert to fraction form
    774,490/1,677,649 = 1,677,649/x
  3. Step 3: Cross multiply
    774,490x = 1,677,649 × 1,677,649
  4. Step 4: Simplify right side
    774,490x = 2,814,506,167,201
  5. Step 5: Solve for x
    x = 2,814,506,167,201/774,490
  6. Step 6: Final answer
    x = 3,634,012.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.