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Finding the Third Proportional to 2,299,605 and 4,837,566

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Solution

The third proportional to 2,299,605 and 4,837,566 is: 10,176,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,605 : 4,837,566 = 4,837,566 : x
  2. Step 2: Convert to fraction form
    2,299,605/4,837,566 = 4,837,566/x
  3. Step 3: Cross multiply
    2,299,605x = 4,837,566 × 4,837,566
  4. Step 4: Simplify right side
    2,299,605x = 23,402,044,804,356
  5. Step 5: Solve for x
    x = 23,402,044,804,356/2,299,605
  6. Step 6: Final answer
    x = 10,176,549.80

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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.