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Finding the Third Proportional to 1,159,012.13 and 1,772,968.50

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Solution

The third proportional to 1,159,012.13 and 1,772,968.50 is: 2,712,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,012.13 : 1,772,968.50 = 1,772,968.50 : x
  2. Step 2: Convert to fraction form
    1,159,012.13/1,772,968.50 = 1,772,968.50/x
  3. Step 3: Cross multiply
    1,159,012.13x = 1,772,968.50 × 1,772,968.50
  4. Step 4: Simplify right side
    1,159,012.13x = 3,143,417,301,992.25
  5. Step 5: Solve for x
    x = 3,143,417,301,992.25/1,159,012.13
  6. Step 6: Final answer
    x = 2,712,152.21

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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.