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Finding the Third Proportional to 760,964 and 1,139,070

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Solution

The third proportional to 760,964 and 1,139,070 is: 1,705,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,964 : 1,139,070 = 1,139,070 : x
  2. Step 2: Convert to fraction form
    760,964/1,139,070 = 1,139,070/x
  3. Step 3: Cross multiply
    760,964x = 1,139,070 × 1,139,070
  4. Step 4: Simplify right side
    760,964x = 1,297,480,464,900
  5. Step 5: Solve for x
    x = 1,297,480,464,900/760,964
  6. Step 6: Final answer
    x = 1,705,048.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.