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Finding the Third Proportional to 473,259 and 1,033,854

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Solution

The third proportional to 473,259 and 1,033,854 is: 2,258,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,259 : 1,033,854 = 1,033,854 : x
  2. Step 2: Convert to fraction form
    473,259/1,033,854 = 1,033,854/x
  3. Step 3: Cross multiply
    473,259x = 1,033,854 × 1,033,854
  4. Step 4: Simplify right side
    473,259x = 1,068,854,093,316
  5. Step 5: Solve for x
    x = 1,068,854,093,316/473,259
  6. Step 6: Final answer
    x = 2,258,497.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.