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Finding the Third Proportional to 700,080 and 1,535,712

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Solution

The third proportional to 700,080 and 1,535,712 is: 3,368,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,080 : 1,535,712 = 1,535,712 : x
  2. Step 2: Convert to fraction form
    700,080/1,535,712 = 1,535,712/x
  3. Step 3: Cross multiply
    700,080x = 1,535,712 × 1,535,712
  4. Step 4: Simplify right side
    700,080x = 2,358,411,346,944
  5. Step 5: Solve for x
    x = 2,358,411,346,944/700,080
  6. Step 6: Final answer
    x = 3,368,774.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.