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Finding the Third Proportional to 545,378 and 1,166,560

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Solution

The third proportional to 545,378 and 1,166,560 is: 2,495,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,378 : 1,166,560 = 1,166,560 : x
  2. Step 2: Convert to fraction form
    545,378/1,166,560 = 1,166,560/x
  3. Step 3: Cross multiply
    545,378x = 1,166,560 × 1,166,560
  4. Step 4: Simplify right side
    545,378x = 1,360,862,233,600
  5. Step 5: Solve for x
    x = 1,360,862,233,600/545,378
  6. Step 6: Final answer
    x = 2,495,264.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.