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Finding the Third Proportional to 2,602,574 and 5,639,594

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Solution

The third proportional to 2,602,574 and 5,639,594 is: 12,220,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,574 : 5,639,594 = 5,639,594 : x
  2. Step 2: Convert to fraction form
    2,602,574/5,639,594 = 5,639,594/x
  3. Step 3: Cross multiply
    2,602,574x = 5,639,594 × 5,639,594
  4. Step 4: Simplify right side
    2,602,574x = 31,805,020,484,836
  5. Step 5: Solve for x
    x = 31,805,020,484,836/2,602,574
  6. Step 6: Final answer
    x = 12,220,601.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.