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Finding the Third Proportional to 642,480 and 1,370,459

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Solution

The third proportional to 642,480 and 1,370,459 is: 2,923,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,480 : 1,370,459 = 1,370,459 : x
  2. Step 2: Convert to fraction form
    642,480/1,370,459 = 1,370,459/x
  3. Step 3: Cross multiply
    642,480x = 1,370,459 × 1,370,459
  4. Step 4: Simplify right side
    642,480x = 1,878,157,870,681
  5. Step 5: Solve for x
    x = 1,878,157,870,681/642,480
  6. Step 6: Final answer
    x = 2,923,293.91

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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.