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Finding the Third Proportional to 653,013 and 1,009,071.75

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Solution

The third proportional to 653,013 and 1,009,071.75 is: 1,559,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,013 : 1,009,071.75 = 1,009,071.75 : x
  2. Step 2: Convert to fraction form
    653,013/1,009,071.75 = 1,009,071.75/x
  3. Step 3: Cross multiply
    653,013x = 1,009,071.75 × 1,009,071.75
  4. Step 4: Simplify right side
    653,013x = 1,018,225,796,648.06
  5. Step 5: Solve for x
    x = 1,018,225,796,648.06/653,013
  6. Step 6: Final answer
    x = 1,559,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.