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Finding the Third Proportional to 2,559,893 and 5,484,120

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Solution

The third proportional to 2,559,893 and 5,484,120 is: 11,748,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,893 : 5,484,120 = 5,484,120 : x
  2. Step 2: Convert to fraction form
    2,559,893/5,484,120 = 5,484,120/x
  3. Step 3: Cross multiply
    2,559,893x = 5,484,120 × 5,484,120
  4. Step 4: Simplify right side
    2,559,893x = 30,075,572,174,400
  5. Step 5: Solve for x
    x = 30,075,572,174,400/2,559,893
  6. Step 6: Final answer
    x = 11,748,761.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.