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Finding the Third Proportional to 688,038 and 1,554,454.50

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Solution

The third proportional to 688,038 and 1,554,454.50 is: 3,511,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,038 : 1,554,454.50 = 1,554,454.50 : x
  2. Step 2: Convert to fraction form
    688,038/1,554,454.50 = 1,554,454.50/x
  3. Step 3: Cross multiply
    688,038x = 1,554,454.50 × 1,554,454.50
  4. Step 4: Simplify right side
    688,038x = 2,416,328,792,570.25
  5. Step 5: Solve for x
    x = 2,416,328,792,570.25/688,038
  6. Step 6: Final answer
    x = 3,511,911.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.