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Finding the Third Proportional to 907,152 and 1,986,304

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Solution

The third proportional to 907,152 and 1,986,304 is: 4,349,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,152 : 1,986,304 = 1,986,304 : x
  2. Step 2: Convert to fraction form
    907,152/1,986,304 = 1,986,304/x
  3. Step 3: Cross multiply
    907,152x = 1,986,304 × 1,986,304
  4. Step 4: Simplify right side
    907,152x = 3,945,403,580,416
  5. Step 5: Solve for x
    x = 3,945,403,580,416/907,152
  6. Step 6: Final answer
    x = 4,349,219.95

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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.