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Finding the Third Proportional to 772,574.06 and 1,136,527.03

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Solution

The third proportional to 772,574.06 and 1,136,527.03 is: 1,671,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,574.06 : 1,136,527.03 = 1,136,527.03 : x
  2. Step 2: Convert to fraction form
    772,574.06/1,136,527.03 = 1,136,527.03/x
  3. Step 3: Cross multiply
    772,574.06x = 1,136,527.03 × 1,136,527.03
  4. Step 4: Simplify right side
    772,574.06x = 1,291,693,692,761.94
  5. Step 5: Solve for x
    x = 1,291,693,692,761.94/772,574.06
  6. Step 6: Final answer
    x = 1,671,935.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.