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Finding the Third Proportional to 1,714,770 and 3,657,294

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Solution

The third proportional to 1,714,770 and 3,657,294 is: 7,800,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,770 : 3,657,294 = 3,657,294 : x
  2. Step 2: Convert to fraction form
    1,714,770/3,657,294 = 3,657,294/x
  3. Step 3: Cross multiply
    1,714,770x = 3,657,294 × 3,657,294
  4. Step 4: Simplify right side
    1,714,770x = 13,375,799,402,436
  5. Step 5: Solve for x
    x = 13,375,799,402,436/1,714,770
  6. Step 6: Final answer
    x = 7,800,346.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.