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Finding the Third Proportional to 524,768 and 1,148,032

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Solution

The third proportional to 524,768 and 1,148,032 is: 2,511,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,768 : 1,148,032 = 1,148,032 : x
  2. Step 2: Convert to fraction form
    524,768/1,148,032 = 1,148,032/x
  3. Step 3: Cross multiply
    524,768x = 1,148,032 × 1,148,032
  4. Step 4: Simplify right side
    524,768x = 1,317,977,473,024
  5. Step 5: Solve for x
    x = 1,317,977,473,024/524,768
  6. Step 6: Final answer
    x = 2,511,543.14

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Why These Related Problems?

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