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Finding the Third Proportional to 1,883,044.50 and 4,118,196

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Solution

The third proportional to 1,883,044.50 and 4,118,196 is: 9,006,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,044.50 : 4,118,196 = 4,118,196 : x
  2. Step 2: Convert to fraction form
    1,883,044.50/4,118,196 = 4,118,196/x
  3. Step 3: Cross multiply
    1,883,044.50x = 4,118,196 × 4,118,196
  4. Step 4: Simplify right side
    1,883,044.50x = 16,959,538,294,416
  5. Step 5: Solve for x
    x = 16,959,538,294,416/1,883,044.50
  6. Step 6: Final answer
    x = 9,006,445.84

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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.