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Finding the Third Proportional to 503,948 and 1,096,468

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Solution

The third proportional to 503,948 and 1,096,468 is: 2,385,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,948 : 1,096,468 = 1,096,468 : x
  2. Step 2: Convert to fraction form
    503,948/1,096,468 = 1,096,468/x
  3. Step 3: Cross multiply
    503,948x = 1,096,468 × 1,096,468
  4. Step 4: Simplify right side
    503,948x = 1,202,242,075,024
  5. Step 5: Solve for x
    x = 1,202,242,075,024/503,948
  6. Step 6: Final answer
    x = 2,385,647.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.