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Finding the Third Proportional to 1,596,024 and 2,153,304

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Solution

The third proportional to 1,596,024 and 2,153,304 is: 2,905,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,024 : 2,153,304 = 2,153,304 : x
  2. Step 2: Convert to fraction form
    1,596,024/2,153,304 = 2,153,304/x
  3. Step 3: Cross multiply
    1,596,024x = 2,153,304 × 2,153,304
  4. Step 4: Simplify right side
    1,596,024x = 4,636,718,116,416
  5. Step 5: Solve for x
    x = 4,636,718,116,416/1,596,024
  6. Step 6: Final answer
    x = 2,905,168.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.