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Finding the Third Proportional to 1,578,535 and 3,409,295

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Solution

The third proportional to 1,578,535 and 3,409,295 is: 7,363,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,535 : 3,409,295 = 3,409,295 : x
  2. Step 2: Convert to fraction form
    1,578,535/3,409,295 = 3,409,295/x
  3. Step 3: Cross multiply
    1,578,535x = 3,409,295 × 3,409,295
  4. Step 4: Simplify right side
    1,578,535x = 11,623,292,397,025
  5. Step 5: Solve for x
    x = 11,623,292,397,025/1,578,535
  6. Step 6: Final answer
    x = 7,363,341.58

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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.