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Finding the Third Proportional to 750,004 and 1,642,472

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Solution

The third proportional to 750,004 and 1,642,472 is: 3,596,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,004 : 1,642,472 = 1,642,472 : x
  2. Step 2: Convert to fraction form
    750,004/1,642,472 = 1,642,472/x
  3. Step 3: Cross multiply
    750,004x = 1,642,472 × 1,642,472
  4. Step 4: Simplify right side
    750,004x = 2,697,714,270,784
  5. Step 5: Solve for x
    x = 2,697,714,270,784/750,004
  6. Step 6: Final answer
    x = 3,596,933.18

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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.