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Finding the Third Proportional to 1,776,418 and 2,564,028

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Solution

The third proportional to 1,776,418 and 2,564,028 is: 3,700,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,418 : 2,564,028 = 2,564,028 : x
  2. Step 2: Convert to fraction form
    1,776,418/2,564,028 = 2,564,028/x
  3. Step 3: Cross multiply
    1,776,418x = 2,564,028 × 2,564,028
  4. Step 4: Simplify right side
    1,776,418x = 6,574,239,584,784
  5. Step 5: Solve for x
    x = 6,574,239,584,784/1,776,418
  6. Step 6: Final answer
    x = 3,700,840.45

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Why These Related Problems?

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