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Finding the Third Proportional to 760,310 and 1,652,044

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Solution

The third proportional to 760,310 and 1,652,044 is: 3,589,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,310 : 1,652,044 = 1,652,044 : x
  2. Step 2: Convert to fraction form
    760,310/1,652,044 = 1,652,044/x
  3. Step 3: Cross multiply
    760,310x = 1,652,044 × 1,652,044
  4. Step 4: Simplify right side
    760,310x = 2,729,249,377,936
  5. Step 5: Solve for x
    x = 2,729,249,377,936/760,310
  6. Step 6: Final answer
    x = 3,589,653.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.