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Finding the Third Proportional to 375,924 and 846,480

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Solution

The third proportional to 375,924 and 846,480 is: 1,906,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,924 : 846,480 = 846,480 : x
  2. Step 2: Convert to fraction form
    375,924/846,480 = 846,480/x
  3. Step 3: Cross multiply
    375,924x = 846,480 × 846,480
  4. Step 4: Simplify right side
    375,924x = 716,528,390,400
  5. Step 5: Solve for x
    x = 716,528,390,400/375,924
  6. Step 6: Final answer
    x = 1,906,045.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.