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Finding the Third Proportional to 1,776,424 and 2,564,037

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Solution

The third proportional to 1,776,424 and 2,564,037 is: 3,700,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,424 : 2,564,037 = 2,564,037 : x
  2. Step 2: Convert to fraction form
    1,776,424/2,564,037 = 2,564,037/x
  3. Step 3: Cross multiply
    1,776,424x = 2,564,037 × 2,564,037
  4. Step 4: Simplify right side
    1,776,424x = 6,574,285,737,369
  5. Step 5: Solve for x
    x = 6,574,285,737,369/1,776,424
  6. Step 6: Final answer
    x = 3,700,853.93

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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.