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Finding the Third Proportional to 493,506 and 1,071,574

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Solution

The third proportional to 493,506 and 1,071,574 is: 2,326,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,506 : 1,071,574 = 1,071,574 : x
  2. Step 2: Convert to fraction form
    493,506/1,071,574 = 1,071,574/x
  3. Step 3: Cross multiply
    493,506x = 1,071,574 × 1,071,574
  4. Step 4: Simplify right side
    493,506x = 1,148,270,837,476
  5. Step 5: Solve for x
    x = 1,148,270,837,476/493,506
  6. Step 6: Final answer
    x = 2,326,761.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.