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Finding the Third Proportional to 683,430 and 1,051,902

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Solution

The third proportional to 683,430 and 1,051,902 is: 1,619,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,430 : 1,051,902 = 1,051,902 : x
  2. Step 2: Convert to fraction form
    683,430/1,051,902 = 1,051,902/x
  3. Step 3: Cross multiply
    683,430x = 1,051,902 × 1,051,902
  4. Step 4: Simplify right side
    683,430x = 1,106,497,817,604
  5. Step 5: Solve for x
    x = 1,106,497,817,604/683,430
  6. Step 6: Final answer
    x = 1,619,036.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.