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Finding the Third Proportional to 1,294,915.50 and 3,024,501.75

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Solution

The third proportional to 1,294,915.50 and 3,024,501.75 is: 7,064,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,915.50 : 3,024,501.75 = 3,024,501.75 : x
  2. Step 2: Convert to fraction form
    1,294,915.50/3,024,501.75 = 3,024,501.75/x
  3. Step 3: Cross multiply
    1,294,915.50x = 3,024,501.75 × 3,024,501.75
  4. Step 4: Simplify right side
    1,294,915.50x = 9,147,610,835,753.06
  5. Step 5: Solve for x
    x = 9,147,610,835,753.06/1,294,915.50
  6. Step 6: Final answer
    x = 7,064,253.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.