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Finding the Third Proportional to 507,570 and 1,080,996

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Solution

The third proportional to 507,570 and 1,080,996 is: 2,302,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,570 : 1,080,996 = 1,080,996 : x
  2. Step 2: Convert to fraction form
    507,570/1,080,996 = 1,080,996/x
  3. Step 3: Cross multiply
    507,570x = 1,080,996 × 1,080,996
  4. Step 4: Simplify right side
    507,570x = 1,168,552,352,016
  5. Step 5: Solve for x
    x = 1,168,552,352,016/507,570
  6. Step 6: Final answer
    x = 2,302,248.66

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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.