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Finding the Third Proportional to 735,526 and 1,124,695

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Solution

The third proportional to 735,526 and 1,124,695 is: 1,719,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,526 : 1,124,695 = 1,124,695 : x
  2. Step 2: Convert to fraction form
    735,526/1,124,695 = 1,124,695/x
  3. Step 3: Cross multiply
    735,526x = 1,124,695 × 1,124,695
  4. Step 4: Simplify right side
    735,526x = 1,264,938,843,025
  5. Step 5: Solve for x
    x = 1,264,938,843,025/735,526
  6. Step 6: Final answer
    x = 1,719,774.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.