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Finding the Third Proportional to 830,741 and 1,244,730

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Solution

The third proportional to 830,741 and 1,244,730 is: 1,865,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,741 : 1,244,730 = 1,244,730 : x
  2. Step 2: Convert to fraction form
    830,741/1,244,730 = 1,244,730/x
  3. Step 3: Cross multiply
    830,741x = 1,244,730 × 1,244,730
  4. Step 4: Simplify right side
    830,741x = 1,549,352,772,900
  5. Step 5: Solve for x
    x = 1,549,352,772,900/830,741
  6. Step 6: Final answer
    x = 1,865,025.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.