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Finding the Third Proportional to 935,546 and 1,411,740

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Solution

The third proportional to 935,546 and 1,411,740 is: 2,130,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,546 : 1,411,740 = 1,411,740 : x
  2. Step 2: Convert to fraction form
    935,546/1,411,740 = 1,411,740/x
  3. Step 3: Cross multiply
    935,546x = 1,411,740 × 1,411,740
  4. Step 4: Simplify right side
    935,546x = 1,993,009,827,600
  5. Step 5: Solve for x
    x = 1,993,009,827,600/935,546
  6. Step 6: Final answer
    x = 2,130,317.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.