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Finding the Third Proportional to 785,444 and 1,696,360

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Solution

The third proportional to 785,444 and 1,696,360 is: 3,663,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,444 : 1,696,360 = 1,696,360 : x
  2. Step 2: Convert to fraction form
    785,444/1,696,360 = 1,696,360/x
  3. Step 3: Cross multiply
    785,444x = 1,696,360 × 1,696,360
  4. Step 4: Simplify right side
    785,444x = 2,877,637,249,600
  5. Step 5: Solve for x
    x = 2,877,637,249,600/785,444
  6. Step 6: Final answer
    x = 3,663,707.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.