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Finding the Third Proportional to 525,045 and 1,145,117

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Solution

The third proportional to 525,045 and 1,145,117 is: 2,497,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,045 : 1,145,117 = 1,145,117 : x
  2. Step 2: Convert to fraction form
    525,045/1,145,117 = 1,145,117/x
  3. Step 3: Cross multiply
    525,045x = 1,145,117 × 1,145,117
  4. Step 4: Simplify right side
    525,045x = 1,311,292,943,689
  5. Step 5: Solve for x
    x = 1,311,292,943,689/525,045
  6. Step 6: Final answer
    x = 2,497,486.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.