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Finding the Third Proportional to 504,252 and 1,075,894

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Solution

The third proportional to 504,252 and 1,075,894 is: 2,295,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,252 : 1,075,894 = 1,075,894 : x
  2. Step 2: Convert to fraction form
    504,252/1,075,894 = 1,075,894/x
  3. Step 3: Cross multiply
    504,252x = 1,075,894 × 1,075,894
  4. Step 4: Simplify right side
    504,252x = 1,157,547,899,236
  5. Step 5: Solve for x
    x = 1,157,547,899,236/504,252
  6. Step 6: Final answer
    x = 2,295,574.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.