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Finding the Third Proportional to 4,574,480 and 6,728,664

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Solution

The third proportional to 4,574,480 and 6,728,664 is: 9,897,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,480 : 6,728,664 = 6,728,664 : x
  2. Step 2: Convert to fraction form
    4,574,480/6,728,664 = 6,728,664/x
  3. Step 3: Cross multiply
    4,574,480x = 6,728,664 × 6,728,664
  4. Step 4: Simplify right side
    4,574,480x = 45,274,919,224,896
  5. Step 5: Solve for x
    x = 45,274,919,224,896/4,574,480
  6. Step 6: Final answer
    x = 9,897,282.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.