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Finding the Third Proportional to 710,007 and 1,550,117

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Solution

The third proportional to 710,007 and 1,550,117 is: 3,384,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,007 : 1,550,117 = 1,550,117 : x
  2. Step 2: Convert to fraction form
    710,007/1,550,117 = 1,550,117/x
  3. Step 3: Cross multiply
    710,007x = 1,550,117 × 1,550,117
  4. Step 4: Simplify right side
    710,007x = 2,402,862,713,689
  5. Step 5: Solve for x
    x = 2,402,862,713,689/710,007
  6. Step 6: Final answer
    x = 3,384,280.32

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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.