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Finding the Third Proportional to 700,210.13 and 1,426,114.69

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Solution

The third proportional to 700,210.13 and 1,426,114.69 is: 2,904,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,210.13 : 1,426,114.69 = 1,426,114.69 : x
  2. Step 2: Convert to fraction form
    700,210.13/1,426,114.69 = 1,426,114.69/x
  3. Step 3: Cross multiply
    700,210.13x = 1,426,114.69 × 1,426,114.69
  4. Step 4: Simplify right side
    700,210.13x = 2,033,803,101,903.22
  5. Step 5: Solve for x
    x = 2,033,803,101,903.22/700,210.13
  6. Step 6: Final answer
    x = 2,904,561.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.