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Finding the Third Proportional to 1,173,036.94 and 1,721,503.13

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Solution

The third proportional to 1,173,036.94 and 1,721,503.13 is: 2,526,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,036.94 : 1,721,503.13 = 1,721,503.13 : x
  2. Step 2: Convert to fraction form
    1,173,036.94/1,721,503.13 = 1,721,503.13/x
  3. Step 3: Cross multiply
    1,173,036.94x = 1,721,503.13 × 1,721,503.13
  4. Step 4: Simplify right side
    1,173,036.94x = 2,963,573,009,384.77
  5. Step 5: Solve for x
    x = 2,963,573,009,384.77/1,173,036.94
  6. Step 6: Final answer
    x = 2,526,410.65

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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.