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Finding the Third Proportional to 545,376 and 1,166,556

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Solution

The third proportional to 545,376 and 1,166,556 is: 2,495,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,376 : 1,166,556 = 1,166,556 : x
  2. Step 2: Convert to fraction form
    545,376/1,166,556 = 1,166,556/x
  3. Step 3: Cross multiply
    545,376x = 1,166,556 × 1,166,556
  4. Step 4: Simplify right side
    545,376x = 1,360,852,901,136
  5. Step 5: Solve for x
    x = 1,360,852,901,136/545,376
  6. Step 6: Final answer
    x = 2,495,256.30

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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.