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Finding the Third Proportional to 802,300 and 1,748,492

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Solution

The third proportional to 802,300 and 1,748,492 is: 3,810,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,300 : 1,748,492 = 1,748,492 : x
  2. Step 2: Convert to fraction form
    802,300/1,748,492 = 1,748,492/x
  3. Step 3: Cross multiply
    802,300x = 1,748,492 × 1,748,492
  4. Step 4: Simplify right side
    802,300x = 3,057,224,274,064
  5. Step 5: Solve for x
    x = 3,057,224,274,064/802,300
  6. Step 6: Final answer
    x = 3,810,574.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.