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Finding the Third Proportional to 1,574,657 and 3,454,396

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Solution

The third proportional to 1,574,657 and 3,454,396 is: 7,578,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,657 : 3,454,396 = 3,454,396 : x
  2. Step 2: Convert to fraction form
    1,574,657/3,454,396 = 3,454,396/x
  3. Step 3: Cross multiply
    1,574,657x = 3,454,396 × 3,454,396
  4. Step 4: Simplify right side
    1,574,657x = 11,932,851,724,816
  5. Step 5: Solve for x
    x = 11,932,851,724,816/1,574,657
  6. Step 6: Final answer
    x = 7,578,064.13

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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.