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Finding the Third Proportional to 761,985 and 1,628,946

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Solution

The third proportional to 761,985 and 1,628,946 is: 3,482,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,985 : 1,628,946 = 1,628,946 : x
  2. Step 2: Convert to fraction form
    761,985/1,628,946 = 1,628,946/x
  3. Step 3: Cross multiply
    761,985x = 1,628,946 × 1,628,946
  4. Step 4: Simplify right side
    761,985x = 2,653,465,070,916
  5. Step 5: Solve for x
    x = 2,653,465,070,916/761,985
  6. Step 6: Final answer
    x = 3,482,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.