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Finding the Third Proportional to 700,430 and 1,070,979

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Solution

The third proportional to 700,430 and 1,070,979 is: 1,637,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,430 : 1,070,979 = 1,070,979 : x
  2. Step 2: Convert to fraction form
    700,430/1,070,979 = 1,070,979/x
  3. Step 3: Cross multiply
    700,430x = 1,070,979 × 1,070,979
  4. Step 4: Simplify right side
    700,430x = 1,146,996,018,441
  5. Step 5: Solve for x
    x = 1,146,996,018,441/700,430
  6. Step 6: Final answer
    x = 1,637,559.81

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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.