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Finding the Third Proportional to 553,681.50 and 1,207,419

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Solution

The third proportional to 553,681.50 and 1,207,419 is: 2,633,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,681.50 : 1,207,419 = 1,207,419 : x
  2. Step 2: Convert to fraction form
    553,681.50/1,207,419 = 1,207,419/x
  3. Step 3: Cross multiply
    553,681.50x = 1,207,419 × 1,207,419
  4. Step 4: Simplify right side
    553,681.50x = 1,457,860,641,561
  5. Step 5: Solve for x
    x = 1,457,860,641,561/553,681.50
  6. Step 6: Final answer
    x = 2,633,031.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.