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Finding the Third Proportional to 1,776,420 and 2,564,031

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Solution

The third proportional to 1,776,420 and 2,564,031 is: 3,700,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,420 : 2,564,031 = 2,564,031 : x
  2. Step 2: Convert to fraction form
    1,776,420/2,564,031 = 2,564,031/x
  3. Step 3: Cross multiply
    1,776,420x = 2,564,031 × 2,564,031
  4. Step 4: Simplify right side
    1,776,420x = 6,574,254,968,961
  5. Step 5: Solve for x
    x = 6,574,254,968,961/1,776,420
  6. Step 6: Final answer
    x = 3,700,844.94

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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.