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Finding the Third Proportional to 526,905 and 1,243,413

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Solution

The third proportional to 526,905 and 1,243,413 is: 2,934,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,905 : 1,243,413 = 1,243,413 : x
  2. Step 2: Convert to fraction form
    526,905/1,243,413 = 1,243,413/x
  3. Step 3: Cross multiply
    526,905x = 1,243,413 × 1,243,413
  4. Step 4: Simplify right side
    526,905x = 1,546,075,888,569
  5. Step 5: Solve for x
    x = 1,546,075,888,569/526,905
  6. Step 6: Final answer
    x = 2,934,259.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.