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Finding the Third Proportional to 1,378,312 and 2,920,284

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Solution

The third proportional to 1,378,312 and 2,920,284 is: 6,187,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,312 : 2,920,284 = 2,920,284 : x
  2. Step 2: Convert to fraction form
    1,378,312/2,920,284 = 2,920,284/x
  3. Step 3: Cross multiply
    1,378,312x = 2,920,284 × 2,920,284
  4. Step 4: Simplify right side
    1,378,312x = 8,528,058,640,656
  5. Step 5: Solve for x
    x = 8,528,058,640,656/1,378,312
  6. Step 6: Final answer
    x = 6,187,320.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.