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Finding the Third Proportional to 680,368 and 1,490,008

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Solution

The third proportional to 680,368 and 1,490,008 is: 3,263,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,368 : 1,490,008 = 1,490,008 : x
  2. Step 2: Convert to fraction form
    680,368/1,490,008 = 1,490,008/x
  3. Step 3: Cross multiply
    680,368x = 1,490,008 × 1,490,008
  4. Step 4: Simplify right side
    680,368x = 2,220,123,840,064
  5. Step 5: Solve for x
    x = 2,220,123,840,064/680,368
  6. Step 6: Final answer
    x = 3,263,122.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.