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Finding the Third Proportional to 705,796 and 1,538,480

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Solution

The third proportional to 705,796 and 1,538,480 is: 3,353,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,796 : 1,538,480 = 1,538,480 : x
  2. Step 2: Convert to fraction form
    705,796/1,538,480 = 1,538,480/x
  3. Step 3: Cross multiply
    705,796x = 1,538,480 × 1,538,480
  4. Step 4: Simplify right side
    705,796x = 2,366,920,710,400
  5. Step 5: Solve for x
    x = 2,366,920,710,400/705,796
  6. Step 6: Final answer
    x = 3,353,547.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.