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Finding the Third Proportional to 710,009 and 1,550,121

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Solution

The third proportional to 710,009 and 1,550,121 is: 3,384,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,009 : 1,550,121 = 1,550,121 : x
  2. Step 2: Convert to fraction form
    710,009/1,550,121 = 1,550,121/x
  3. Step 3: Cross multiply
    710,009x = 1,550,121 × 1,550,121
  4. Step 4: Simplify right side
    710,009x = 2,402,875,114,641
  5. Step 5: Solve for x
    x = 2,402,875,114,641/710,009
  6. Step 6: Final answer
    x = 3,384,288.25

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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.