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Finding the Third Proportional to 666,480 and 1,032,284

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Solution

The third proportional to 666,480 and 1,032,284 is: 1,598,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,480 : 1,032,284 = 1,032,284 : x
  2. Step 2: Convert to fraction form
    666,480/1,032,284 = 1,032,284/x
  3. Step 3: Cross multiply
    666,480x = 1,032,284 × 1,032,284
  4. Step 4: Simplify right side
    666,480x = 1,065,610,256,656
  5. Step 5: Solve for x
    x = 1,065,610,256,656/666,480
  6. Step 6: Final answer
    x = 1,598,863.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.