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Finding the Third Proportional to 710,480 and 1,521,728

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Solution

The third proportional to 710,480 and 1,521,728 is: 3,259,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,480 : 1,521,728 = 1,521,728 : x
  2. Step 2: Convert to fraction form
    710,480/1,521,728 = 1,521,728/x
  3. Step 3: Cross multiply
    710,480x = 1,521,728 × 1,521,728
  4. Step 4: Simplify right side
    710,480x = 2,315,656,105,984
  5. Step 5: Solve for x
    x = 2,315,656,105,984/710,480
  6. Step 6: Final answer
    x = 3,259,284.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.