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Finding the Third Proportional to 2,238,894 and 4,896,658.50

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Solution

The third proportional to 2,238,894 and 4,896,658.50 is: 10,709,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238,894 : 4,896,658.50 = 4,896,658.50 : x
  2. Step 2: Convert to fraction form
    2,238,894/4,896,658.50 = 4,896,658.50/x
  3. Step 3: Cross multiply
    2,238,894x = 4,896,658.50 × 4,896,658.50
  4. Step 4: Simplify right side
    2,238,894x = 23,977,264,465,622.25
  5. Step 5: Solve for x
    x = 23,977,264,465,622.25/2,238,894
  6. Step 6: Final answer
    x = 10,709,423.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.