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Finding the Third Proportional to 2,784,456 and 4,430,656

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Solution

The third proportional to 2,784,456 and 4,430,656 is: 7,050,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,456 : 4,430,656 = 4,430,656 : x
  2. Step 2: Convert to fraction form
    2,784,456/4,430,656 = 4,430,656/x
  3. Step 3: Cross multiply
    2,784,456x = 4,430,656 × 4,430,656
  4. Step 4: Simplify right side
    2,784,456x = 19,630,712,590,336
  5. Step 5: Solve for x
    x = 19,630,712,590,336/2,784,456
  6. Step 6: Final answer
    x = 7,050,106.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.