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Finding the Third Proportional to 985,347 and 2,124,513

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Solution

The third proportional to 985,347 and 2,124,513 is: 4,580,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,347 : 2,124,513 = 2,124,513 : x
  2. Step 2: Convert to fraction form
    985,347/2,124,513 = 2,124,513/x
  3. Step 3: Cross multiply
    985,347x = 2,124,513 × 2,124,513
  4. Step 4: Simplify right side
    985,347x = 4,513,555,487,169
  5. Step 5: Solve for x
    x = 4,513,555,487,169/985,347
  6. Step 6: Final answer
    x = 4,580,676.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.