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Finding the Third Proportional to 476,930 and 1,009,072

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Solution

The third proportional to 476,930 and 1,009,072 is: 2,134,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,930 : 1,009,072 = 1,009,072 : x
  2. Step 2: Convert to fraction form
    476,930/1,009,072 = 1,009,072/x
  3. Step 3: Cross multiply
    476,930x = 1,009,072 × 1,009,072
  4. Step 4: Simplify right side
    476,930x = 1,018,226,301,184
  5. Step 5: Solve for x
    x = 1,018,226,301,184/476,930
  6. Step 6: Final answer
    x = 2,134,959.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.