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Finding the Third Proportional to 476,031 and 1,030,428

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Solution

The third proportional to 476,031 and 1,030,428 is: 2,230,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,031 : 1,030,428 = 1,030,428 : x
  2. Step 2: Convert to fraction form
    476,031/1,030,428 = 1,030,428/x
  3. Step 3: Cross multiply
    476,031x = 1,030,428 × 1,030,428
  4. Step 4: Simplify right side
    476,031x = 1,061,781,863,184
  5. Step 5: Solve for x
    x = 1,061,781,863,184/476,031
  6. Step 6: Final answer
    x = 2,230,488.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.