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Finding the Third Proportional to 774,246 and 1,670,952

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Solution

The third proportional to 774,246 and 1,670,952 is: 3,606,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,246 : 1,670,952 = 1,670,952 : x
  2. Step 2: Convert to fraction form
    774,246/1,670,952 = 1,670,952/x
  3. Step 3: Cross multiply
    774,246x = 1,670,952 × 1,670,952
  4. Step 4: Simplify right side
    774,246x = 2,792,080,586,304
  5. Step 5: Solve for x
    x = 2,792,080,586,304/774,246
  6. Step 6: Final answer
    x = 3,606,193.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.