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Finding the Third Proportional to 602,964 and 1,277,424

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Solution

The third proportional to 602,964 and 1,277,424 is: 2,706,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,964 : 1,277,424 = 1,277,424 : x
  2. Step 2: Convert to fraction form
    602,964/1,277,424 = 1,277,424/x
  3. Step 3: Cross multiply
    602,964x = 1,277,424 × 1,277,424
  4. Step 4: Simplify right side
    602,964x = 1,631,812,075,776
  5. Step 5: Solve for x
    x = 1,631,812,075,776/602,964
  6. Step 6: Final answer
    x = 2,706,317.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.