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Finding the Third Proportional to 1,459,968.75 and 1,952,925.75

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Solution

The third proportional to 1,459,968.75 and 1,952,925.75 is: 2,612,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,968.75 : 1,952,925.75 = 1,952,925.75 : x
  2. Step 2: Convert to fraction form
    1,459,968.75/1,952,925.75 = 1,952,925.75/x
  3. Step 3: Cross multiply
    1,459,968.75x = 1,952,925.75 × 1,952,925.75
  4. Step 4: Simplify right side
    1,459,968.75x = 3,813,918,985,013.06
  5. Step 5: Solve for x
    x = 3,813,918,985,013.06/1,459,968.75
  6. Step 6: Final answer
    x = 2,612,329.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.