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Finding the Third Proportional to 852,076 and 1,823,829.50

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Solution

The third proportional to 852,076 and 1,823,829.50 is: 3,903,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,076 : 1,823,829.50 = 1,823,829.50 : x
  2. Step 2: Convert to fraction form
    852,076/1,823,829.50 = 1,823,829.50/x
  3. Step 3: Cross multiply
    852,076x = 1,823,829.50 × 1,823,829.50
  4. Step 4: Simplify right side
    852,076x = 3,326,354,045,070.25
  5. Step 5: Solve for x
    x = 3,326,354,045,070.25/852,076
  6. Step 6: Final answer
    x = 3,903,823.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.