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Finding the Third Proportional to 713,682 and 1,043,730

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Solution

The third proportional to 713,682 and 1,043,730 is: 1,526,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,682 : 1,043,730 = 1,043,730 : x
  2. Step 2: Convert to fraction form
    713,682/1,043,730 = 1,043,730/x
  3. Step 3: Cross multiply
    713,682x = 1,043,730 × 1,043,730
  4. Step 4: Simplify right side
    713,682x = 1,089,372,312,900
  5. Step 5: Solve for x
    x = 1,089,372,312,900/713,682
  6. Step 6: Final answer
    x = 1,526,411.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.