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Finding the Third Proportional to 1,048,522 and 2,293,297

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Solution

The third proportional to 1,048,522 and 2,293,297 is: 5,015,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,522 : 2,293,297 = 2,293,297 : x
  2. Step 2: Convert to fraction form
    1,048,522/2,293,297 = 2,293,297/x
  3. Step 3: Cross multiply
    1,048,522x = 2,293,297 × 2,293,297
  4. Step 4: Simplify right side
    1,048,522x = 5,259,211,130,209
  5. Step 5: Solve for x
    x = 5,259,211,130,209/1,048,522
  6. Step 6: Final answer
    x = 5,015,832.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.