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Finding the Third Proportional to 630,082 and 1,382,646

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Solution

The third proportional to 630,082 and 1,382,646 is: 3,034,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,082 : 1,382,646 = 1,382,646 : x
  2. Step 2: Convert to fraction form
    630,082/1,382,646 = 1,382,646/x
  3. Step 3: Cross multiply
    630,082x = 1,382,646 × 1,382,646
  4. Step 4: Simplify right side
    630,082x = 1,911,709,961,316
  5. Step 5: Solve for x
    x = 1,911,709,961,316/630,082
  6. Step 6: Final answer
    x = 3,034,065.35

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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.