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Finding the Third Proportional to 473,581 and 1,046,830

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Solution

The third proportional to 473,581 and 1,046,830 is: 2,313,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,581 : 1,046,830 = 1,046,830 : x
  2. Step 2: Convert to fraction form
    473,581/1,046,830 = 1,046,830/x
  3. Step 3: Cross multiply
    473,581x = 1,046,830 × 1,046,830
  4. Step 4: Simplify right side
    473,581x = 1,095,853,048,900
  5. Step 5: Solve for x
    x = 1,095,853,048,900/473,581
  6. Step 6: Final answer
    x = 2,313,971.74

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.