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Finding the Third Proportional to 523,892.81 and 1,145,858.06

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Solution

The third proportional to 523,892.81 and 1,145,858.06 is: 2,506,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,892.81 : 1,145,858.06 = 1,145,858.06 : x
  2. Step 2: Convert to fraction form
    523,892.81/1,145,858.06 = 1,145,858.06/x
  3. Step 3: Cross multiply
    523,892.81x = 1,145,858.06 × 1,145,858.06
  4. Step 4: Simplify right side
    523,892.81x = 1,312,990,699,396.25
  5. Step 5: Solve for x
    x = 1,312,990,699,396.25/523,892.81
  6. Step 6: Final answer
    x = 2,506,220.10

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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.