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Finding the Third Proportional to 676,752 and 1,441,312

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Solution

The third proportional to 676,752 and 1,441,312 is: 3,069,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,752 : 1,441,312 = 1,441,312 : x
  2. Step 2: Convert to fraction form
    676,752/1,441,312 = 1,441,312/x
  3. Step 3: Cross multiply
    676,752x = 1,441,312 × 1,441,312
  4. Step 4: Simplify right side
    676,752x = 2,077,380,281,344
  5. Step 5: Solve for x
    x = 2,077,380,281,344/676,752
  6. Step 6: Final answer
    x = 3,069,633.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.