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Finding the Third Proportional to 473,788 and 1,036,145

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Solution

The third proportional to 473,788 and 1,036,145 is: 2,265,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,788 : 1,036,145 = 1,036,145 : x
  2. Step 2: Convert to fraction form
    473,788/1,036,145 = 1,036,145/x
  3. Step 3: Cross multiply
    473,788x = 1,036,145 × 1,036,145
  4. Step 4: Simplify right side
    473,788x = 1,073,596,461,025
  5. Step 5: Solve for x
    x = 1,073,596,461,025/473,788
  6. Step 6: Final answer
    x = 2,265,984.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.