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Finding the Third Proportional to 934,810 and 1,526,309

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Solution

The third proportional to 934,810 and 1,526,309 is: 2,492,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,810 : 1,526,309 = 1,526,309 : x
  2. Step 2: Convert to fraction form
    934,810/1,526,309 = 1,526,309/x
  3. Step 3: Cross multiply
    934,810x = 1,526,309 × 1,526,309
  4. Step 4: Simplify right side
    934,810x = 2,329,619,163,481
  5. Step 5: Solve for x
    x = 2,329,619,163,481/934,810
  6. Step 6: Final answer
    x = 2,492,077.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.