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Finding the Third Proportional to 2,830,564 and 4,235,478

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Solution

The third proportional to 2,830,564 and 4,235,478 is: 6,337,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830,564 : 4,235,478 = 4,235,478 : x
  2. Step 2: Convert to fraction form
    2,830,564/4,235,478 = 4,235,478/x
  3. Step 3: Cross multiply
    2,830,564x = 4,235,478 × 4,235,478
  4. Step 4: Simplify right side
    2,830,564x = 17,939,273,888,484
  5. Step 5: Solve for x
    x = 17,939,273,888,484/2,830,564
  6. Step 6: Final answer
    x = 6,337,702.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.