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Finding the Third Proportional to 435,466 and 933,140

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Solution

The third proportional to 435,466 and 933,140 is: 1,999,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,466 : 933,140 = 933,140 : x
  2. Step 2: Convert to fraction form
    435,466/933,140 = 933,140/x
  3. Step 3: Cross multiply
    435,466x = 933,140 × 933,140
  4. Step 4: Simplify right side
    435,466x = 870,750,259,600
  5. Step 5: Solve for x
    x = 870,750,259,600/435,466
  6. Step 6: Final answer
    x = 1,999,582.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.