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Finding the Third Proportional to 536,436 and 1,169,064

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Solution

The third proportional to 536,436 and 1,169,064 is: 2,547,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,436 : 1,169,064 = 1,169,064 : x
  2. Step 2: Convert to fraction form
    536,436/1,169,064 = 1,169,064/x
  3. Step 3: Cross multiply
    536,436x = 1,169,064 × 1,169,064
  4. Step 4: Simplify right side
    536,436x = 1,366,710,636,096
  5. Step 5: Solve for x
    x = 1,366,710,636,096/536,436
  6. Step 6: Final answer
    x = 2,547,760.84

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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.