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Finding the Third Proportional to 1,578,490 and 3,409,200

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Solution

The third proportional to 1,578,490 and 3,409,200 is: 7,363,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,490 : 3,409,200 = 3,409,200 : x
  2. Step 2: Convert to fraction form
    1,578,490/3,409,200 = 3,409,200/x
  3. Step 3: Cross multiply
    1,578,490x = 3,409,200 × 3,409,200
  4. Step 4: Simplify right side
    1,578,490x = 11,622,644,640,000
  5. Step 5: Solve for x
    x = 11,622,644,640,000/1,578,490
  6. Step 6: Final answer
    x = 7,363,141.13

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