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Finding the Third Proportional to 975,312 and 2,085,822

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Solution

The third proportional to 975,312 and 2,085,822 is: 4,460,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,312 : 2,085,822 = 2,085,822 : x
  2. Step 2: Convert to fraction form
    975,312/2,085,822 = 2,085,822/x
  3. Step 3: Cross multiply
    975,312x = 2,085,822 × 2,085,822
  4. Step 4: Simplify right side
    975,312x = 4,350,653,415,684
  5. Step 5: Solve for x
    x = 4,350,653,415,684/975,312
  6. Step 6: Final answer
    x = 4,460,781.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.