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Finding the Third Proportional to 912,906 and 1,970,154

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Solution

The third proportional to 912,906 and 1,970,154 is: 4,251,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,906 : 1,970,154 = 1,970,154 : x
  2. Step 2: Convert to fraction form
    912,906/1,970,154 = 1,970,154/x
  3. Step 3: Cross multiply
    912,906x = 1,970,154 × 1,970,154
  4. Step 4: Simplify right side
    912,906x = 3,881,506,783,716
  5. Step 5: Solve for x
    x = 3,881,506,783,716/912,906
  6. Step 6: Final answer
    x = 4,251,814.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.