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Finding the Third Proportional to 644,977.13 and 1,506,130.31

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Solution

The third proportional to 644,977.13 and 1,506,130.31 is: 3,517,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,977.13 : 1,506,130.31 = 1,506,130.31 : x
  2. Step 2: Convert to fraction form
    644,977.13/1,506,130.31 = 1,506,130.31/x
  3. Step 3: Cross multiply
    644,977.13x = 1,506,130.31 × 1,506,130.31
  4. Step 4: Simplify right side
    644,977.13x = 2,268,428,518,231.35
  5. Step 5: Solve for x
    x = 2,268,428,518,231.35/644,977.13
  6. Step 6: Final answer
    x = 3,517,068.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.