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Finding the Third Proportional to 850,385 and 1,316,655

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Solution

The third proportional to 850,385 and 1,316,655 is: 2,038,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,385 : 1,316,655 = 1,316,655 : x
  2. Step 2: Convert to fraction form
    850,385/1,316,655 = 1,316,655/x
  3. Step 3: Cross multiply
    850,385x = 1,316,655 × 1,316,655
  4. Step 4: Simplify right side
    850,385x = 1,733,580,389,025
  5. Step 5: Solve for x
    x = 1,733,580,389,025/850,385
  6. Step 6: Final answer
    x = 2,038,582.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.