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Finding the Third Proportional to 1,012,905.84 and 1,545,083.02

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Solution

The third proportional to 1,012,905.84 and 1,545,083.02 is: 2,356,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,905.84 : 1,545,083.02 = 1,545,083.02 : x
  2. Step 2: Convert to fraction form
    1,012,905.84/1,545,083.02 = 1,545,083.02/x
  3. Step 3: Cross multiply
    1,012,905.84x = 1,545,083.02 × 1,545,083.02
  4. Step 4: Simplify right side
    1,012,905.84x = 2,387,281,525,172.84
  5. Step 5: Solve for x
    x = 2,387,281,525,172.84/1,012,905.84
  6. Step 6: Final answer
    x = 2,356,864.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.