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Finding the Third Proportional to 490,904 and 1,075,498

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Solution

The third proportional to 490,904 and 1,075,498 is: 2,356,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,904 : 1,075,498 = 1,075,498 : x
  2. Step 2: Convert to fraction form
    490,904/1,075,498 = 1,075,498/x
  3. Step 3: Cross multiply
    490,904x = 1,075,498 × 1,075,498
  4. Step 4: Simplify right side
    490,904x = 1,156,695,948,004
  5. Step 5: Solve for x
    x = 1,156,695,948,004/490,904
  6. Step 6: Final answer
    x = 2,356,256.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.