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Finding the Third Proportional to 473,788 and 1,012,696

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Solution

The third proportional to 473,788 and 1,012,696 is: 2,164,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,788 : 1,012,696 = 1,012,696 : x
  2. Step 2: Convert to fraction form
    473,788/1,012,696 = 1,012,696/x
  3. Step 3: Cross multiply
    473,788x = 1,012,696 × 1,012,696
  4. Step 4: Simplify right side
    473,788x = 1,025,553,188,416
  5. Step 5: Solve for x
    x = 1,025,553,188,416/473,788
  6. Step 6: Final answer
    x = 2,164,582.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.