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Finding the Third Proportional to 710,370 and 1,521,828

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Solution

The third proportional to 710,370 and 1,521,828 is: 3,260,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,370 : 1,521,828 = 1,521,828 : x
  2. Step 2: Convert to fraction form
    710,370/1,521,828 = 1,521,828/x
  3. Step 3: Cross multiply
    710,370x = 1,521,828 × 1,521,828
  4. Step 4: Simplify right side
    710,370x = 2,315,960,461,584
  5. Step 5: Solve for x
    x = 2,315,960,461,584/710,370
  6. Step 6: Final answer
    x = 3,260,217.16

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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.