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Finding the Third Proportional to 507,984.75 and 1,110,421.13

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Solution

The third proportional to 507,984.75 and 1,110,421.13 is: 2,427,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,984.75 : 1,110,421.13 = 1,110,421.13 : x
  2. Step 2: Convert to fraction form
    507,984.75/1,110,421.13 = 1,110,421.13/x
  3. Step 3: Cross multiply
    507,984.75x = 1,110,421.13 × 1,110,421.13
  4. Step 4: Simplify right side
    507,984.75x = 1,233,035,074,846.27
  5. Step 5: Solve for x
    x = 1,233,035,074,846.27/507,984.75
  6. Step 6: Final answer
    x = 2,427,307.27

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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.