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Finding the Third Proportional to 849,064 and 1,254,156

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Solution

The third proportional to 849,064 and 1,254,156 is: 1,852,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,064 : 1,254,156 = 1,254,156 : x
  2. Step 2: Convert to fraction form
    849,064/1,254,156 = 1,254,156/x
  3. Step 3: Cross multiply
    849,064x = 1,254,156 × 1,254,156
  4. Step 4: Simplify right side
    849,064x = 1,572,907,272,336
  5. Step 5: Solve for x
    x = 1,572,907,272,336/849,064
  6. Step 6: Final answer
    x = 1,852,519.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.