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Finding the Third Proportional to 1,680,473 and 2,583,008

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Solution

The third proportional to 1,680,473 and 2,583,008 is: 3,970,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,473 : 2,583,008 = 2,583,008 : x
  2. Step 2: Convert to fraction form
    1,680,473/2,583,008 = 2,583,008/x
  3. Step 3: Cross multiply
    1,680,473x = 2,583,008 × 2,583,008
  4. Step 4: Simplify right side
    1,680,473x = 6,671,930,328,064
  5. Step 5: Solve for x
    x = 6,671,930,328,064/1,680,473
  6. Step 6: Final answer
    x = 3,970,269.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.