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Finding the Third Proportional to 720,480 and 1,564,032

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Solution

The third proportional to 720,480 and 1,564,032 is: 3,395,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,480 : 1,564,032 = 1,564,032 : x
  2. Step 2: Convert to fraction form
    720,480/1,564,032 = 1,564,032/x
  3. Step 3: Cross multiply
    720,480x = 1,564,032 × 1,564,032
  4. Step 4: Simplify right side
    720,480x = 2,446,196,097,024
  5. Step 5: Solve for x
    x = 2,446,196,097,024/720,480
  6. Step 6: Final answer
    x = 3,395,231.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.