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Finding the Third Proportional to 501,152 and 1,051,510

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Solution

The third proportional to 501,152 and 1,051,510 is: 2,206,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,152 : 1,051,510 = 1,051,510 : x
  2. Step 2: Convert to fraction form
    501,152/1,051,510 = 1,051,510/x
  3. Step 3: Cross multiply
    501,152x = 1,051,510 × 1,051,510
  4. Step 4: Simplify right side
    501,152x = 1,105,673,280,100
  5. Step 5: Solve for x
    x = 1,105,673,280,100/501,152
  6. Step 6: Final answer
    x = 2,206,263.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.