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Finding the Third Proportional to 1,776,414 and 2,564,022

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Solution

The third proportional to 1,776,414 and 2,564,022 is: 3,700,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,414 : 2,564,022 = 2,564,022 : x
  2. Step 2: Convert to fraction form
    1,776,414/2,564,022 = 2,564,022/x
  3. Step 3: Cross multiply
    1,776,414x = 2,564,022 × 2,564,022
  4. Step 4: Simplify right side
    1,776,414x = 6,574,208,816,484
  5. Step 5: Solve for x
    x = 6,574,208,816,484/1,776,414
  6. Step 6: Final answer
    x = 3,700,831.46

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.