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Finding the Third Proportional to 1,057,430 and 1,507,413

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Solution

The third proportional to 1,057,430 and 1,507,413 is: 2,148,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,430 : 1,507,413 = 1,507,413 : x
  2. Step 2: Convert to fraction form
    1,057,430/1,507,413 = 1,507,413/x
  3. Step 3: Cross multiply
    1,057,430x = 1,507,413 × 1,507,413
  4. Step 4: Simplify right side
    1,057,430x = 2,272,293,952,569
  5. Step 5: Solve for x
    x = 2,272,293,952,569/1,057,430
  6. Step 6: Final answer
    x = 2,148,883.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.