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Finding the Third Proportional to 710,014 and 1,550,130

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Solution

The third proportional to 710,014 and 1,550,130 is: 3,384,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,014 : 1,550,130 = 1,550,130 : x
  2. Step 2: Convert to fraction form
    710,014/1,550,130 = 1,550,130/x
  3. Step 3: Cross multiply
    710,014x = 1,550,130 × 1,550,130
  4. Step 4: Simplify right side
    710,014x = 2,402,903,016,900
  5. Step 5: Solve for x
    x = 2,402,903,016,900/710,014
  6. Step 6: Final answer
    x = 3,384,303.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.