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Finding the Third Proportional to 761,440 and 1,637,710

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Solution

The third proportional to 761,440 and 1,637,710 is: 3,522,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,440 : 1,637,710 = 1,637,710 : x
  2. Step 2: Convert to fraction form
    761,440/1,637,710 = 1,637,710/x
  3. Step 3: Cross multiply
    761,440x = 1,637,710 × 1,637,710
  4. Step 4: Simplify right side
    761,440x = 2,682,094,044,100
  5. Step 5: Solve for x
    x = 2,682,094,044,100/761,440
  6. Step 6: Final answer
    x = 3,522,397.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.