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Finding the Third Proportional to 922,200 and 1,411,284

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Solution

The third proportional to 922,200 and 1,411,284 is: 2,159,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,200 : 1,411,284 = 1,411,284 : x
  2. Step 2: Convert to fraction form
    922,200/1,411,284 = 1,411,284/x
  3. Step 3: Cross multiply
    922,200x = 1,411,284 × 1,411,284
  4. Step 4: Simplify right side
    922,200x = 1,991,722,528,656
  5. Step 5: Solve for x
    x = 1,991,722,528,656/922,200
  6. Step 6: Final answer
    x = 2,159,751.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.