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Finding the Third Proportional to 403,594 and 849,014

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Solution

The third proportional to 403,594 and 849,014 is: 1,786,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,594 : 849,014 = 849,014 : x
  2. Step 2: Convert to fraction form
    403,594/849,014 = 849,014/x
  3. Step 3: Cross multiply
    403,594x = 849,014 × 849,014
  4. Step 4: Simplify right side
    403,594x = 720,824,772,196
  5. Step 5: Solve for x
    x = 720,824,772,196/403,594
  6. Step 6: Final answer
    x = 1,786,014.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.