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Finding the Third Proportional to 830,438 and 1,301,013

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Solution

The third proportional to 830,438 and 1,301,013 is: 2,038,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,438 : 1,301,013 = 1,301,013 : x
  2. Step 2: Convert to fraction form
    830,438/1,301,013 = 1,301,013/x
  3. Step 3: Cross multiply
    830,438x = 1,301,013 × 1,301,013
  4. Step 4: Simplify right side
    830,438x = 1,692,634,826,169
  5. Step 5: Solve for x
    x = 1,692,634,826,169/830,438
  6. Step 6: Final answer
    x = 2,038,243.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.