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Finding the Third Proportional to 623,718 and 1,312,638

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Solution

The third proportional to 623,718 and 1,312,638 is: 2,762,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,718 : 1,312,638 = 1,312,638 : x
  2. Step 2: Convert to fraction form
    623,718/1,312,638 = 1,312,638/x
  3. Step 3: Cross multiply
    623,718x = 1,312,638 × 1,312,638
  4. Step 4: Simplify right side
    623,718x = 1,723,018,519,044
  5. Step 5: Solve for x
    x = 1,723,018,519,044/623,718
  6. Step 6: Final answer
    x = 2,762,496.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.