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Finding the Third Proportional to 473,207 and 1,032,052

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Solution

The third proportional to 473,207 and 1,032,052 is: 2,250,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,207 : 1,032,052 = 1,032,052 : x
  2. Step 2: Convert to fraction form
    473,207/1,032,052 = 1,032,052/x
  3. Step 3: Cross multiply
    473,207x = 1,032,052 × 1,032,052
  4. Step 4: Simplify right side
    473,207x = 1,065,131,330,704
  5. Step 5: Solve for x
    x = 1,065,131,330,704/473,207
  6. Step 6: Final answer
    x = 2,250,878.22

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Why These Related Problems?

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