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Finding the Third Proportional to 1,075,224 and 1,588,320

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Solution

The third proportional to 1,075,224 and 1,588,320 is: 2,346,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,224 : 1,588,320 = 1,588,320 : x
  2. Step 2: Convert to fraction form
    1,075,224/1,588,320 = 1,588,320/x
  3. Step 3: Cross multiply
    1,075,224x = 1,588,320 × 1,588,320
  4. Step 4: Simplify right side
    1,075,224x = 2,522,760,422,400
  5. Step 5: Solve for x
    x = 2,522,760,422,400/1,075,224
  6. Step 6: Final answer
    x = 2,346,264.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.