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Finding the Third Proportional to 1,266,830 and 2,638,498

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Solution

The third proportional to 1,266,830 and 2,638,498 is: 5,495,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,830 : 2,638,498 = 2,638,498 : x
  2. Step 2: Convert to fraction form
    1,266,830/2,638,498 = 2,638,498/x
  3. Step 3: Cross multiply
    1,266,830x = 2,638,498 × 2,638,498
  4. Step 4: Simplify right side
    1,266,830x = 6,961,671,696,004
  5. Step 5: Solve for x
    x = 6,961,671,696,004/1,266,830
  6. Step 6: Final answer
    x = 5,495,347.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.