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Finding the Third Proportional to 602,458 and 1,304,095

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Solution

The third proportional to 602,458 and 1,304,095 is: 2,822,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,458 : 1,304,095 = 1,304,095 : x
  2. Step 2: Convert to fraction form
    602,458/1,304,095 = 1,304,095/x
  3. Step 3: Cross multiply
    602,458x = 1,304,095 × 1,304,095
  4. Step 4: Simplify right side
    602,458x = 1,700,663,769,025
  5. Step 5: Solve for x
    x = 1,700,663,769,025/602,458
  6. Step 6: Final answer
    x = 2,822,875.24

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Why These Related Problems?

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