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Finding the Third Proportional to 601,368 and 1,307,658

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Solution

The third proportional to 601,368 and 1,307,658 is: 2,843,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,368 : 1,307,658 = 1,307,658 : x
  2. Step 2: Convert to fraction form
    601,368/1,307,658 = 1,307,658/x
  3. Step 3: Cross multiply
    601,368x = 1,307,658 × 1,307,658
  4. Step 4: Simplify right side
    601,368x = 1,709,969,444,964
  5. Step 5: Solve for x
    x = 1,709,969,444,964/601,368
  6. Step 6: Final answer
    x = 2,843,465.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.