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Finding the Third Proportional to 725,670 and 1,547,582

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Solution

The third proportional to 725,670 and 1,547,582 is: 3,300,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,670 : 1,547,582 = 1,547,582 : x
  2. Step 2: Convert to fraction form
    725,670/1,547,582 = 1,547,582/x
  3. Step 3: Cross multiply
    725,670x = 1,547,582 × 1,547,582
  4. Step 4: Simplify right side
    725,670x = 2,395,010,046,724
  5. Step 5: Solve for x
    x = 2,395,010,046,724/725,670
  6. Step 6: Final answer
    x = 3,300,412.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.