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Finding the Third Proportional to 710,012 and 1,550,127

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Solution

The third proportional to 710,012 and 1,550,127 is: 3,384,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,012 : 1,550,127 = 1,550,127 : x
  2. Step 2: Convert to fraction form
    710,012/1,550,127 = 1,550,127/x
  3. Step 3: Cross multiply
    710,012x = 1,550,127 × 1,550,127
  4. Step 4: Simplify right side
    710,012x = 2,402,893,716,129
  5. Step 5: Solve for x
    x = 2,402,893,716,129/710,012
  6. Step 6: Final answer
    x = 3,384,300.15

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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.