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Finding the Third Proportional to 712,612.88 and 1,537,326

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Solution

The third proportional to 712,612.88 and 1,537,326 is: 3,316,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,612.88 : 1,537,326 = 1,537,326 : x
  2. Step 2: Convert to fraction form
    712,612.88/1,537,326 = 1,537,326/x
  3. Step 3: Cross multiply
    712,612.88x = 1,537,326 × 1,537,326
  4. Step 4: Simplify right side
    712,612.88x = 2,363,371,230,276
  5. Step 5: Solve for x
    x = 2,363,371,230,276/712,612.88
  6. Step 6: Final answer
    x = 3,316,486.85

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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.