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Finding the Third Proportional to 784,752 and 1,693,920

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Solution

The third proportional to 784,752 and 1,693,920 is: 3,656,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,752 : 1,693,920 = 1,693,920 : x
  2. Step 2: Convert to fraction form
    784,752/1,693,920 = 1,693,920/x
  3. Step 3: Cross multiply
    784,752x = 1,693,920 × 1,693,920
  4. Step 4: Simplify right side
    784,752x = 2,869,364,966,400
  5. Step 5: Solve for x
    x = 2,869,364,966,400/784,752
  6. Step 6: Final answer
    x = 3,656,397.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.