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Finding the Third Proportional to 514,061 and 1,111,354

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Solution

The third proportional to 514,061 and 1,111,354 is: 2,402,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,061 : 1,111,354 = 1,111,354 : x
  2. Step 2: Convert to fraction form
    514,061/1,111,354 = 1,111,354/x
  3. Step 3: Cross multiply
    514,061x = 1,111,354 × 1,111,354
  4. Step 4: Simplify right side
    514,061x = 1,235,107,713,316
  5. Step 5: Solve for x
    x = 1,235,107,713,316/514,061
  6. Step 6: Final answer
    x = 2,402,648.16

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Why These Related Problems?

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