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Finding the Third Proportional to 696,996 and 1,025,070

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Solution

The third proportional to 696,996 and 1,025,070 is: 1,507,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,996 : 1,025,070 = 1,025,070 : x
  2. Step 2: Convert to fraction form
    696,996/1,025,070 = 1,025,070/x
  3. Step 3: Cross multiply
    696,996x = 1,025,070 × 1,025,070
  4. Step 4: Simplify right side
    696,996x = 1,050,768,504,900
  5. Step 5: Solve for x
    x = 1,050,768,504,900/696,996
  6. Step 6: Final answer
    x = 1,507,567.48

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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.