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Finding the Third Proportional to 761,630 and 1,069,869

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Solution

The third proportional to 761,630 and 1,069,869 is: 1,502,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,630 : 1,069,869 = 1,069,869 : x
  2. Step 2: Convert to fraction form
    761,630/1,069,869 = 1,069,869/x
  3. Step 3: Cross multiply
    761,630x = 1,069,869 × 1,069,869
  4. Step 4: Simplify right side
    761,630x = 1,144,619,677,161
  5. Step 5: Solve for x
    x = 1,144,619,677,161/761,630
  6. Step 6: Final answer
    x = 1,502,855.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.