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Finding the Third Proportional to 965,572 and 1,460,786

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Solution

The third proportional to 965,572 and 1,460,786 is: 2,209,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,572 : 1,460,786 = 1,460,786 : x
  2. Step 2: Convert to fraction form
    965,572/1,460,786 = 1,460,786/x
  3. Step 3: Cross multiply
    965,572x = 1,460,786 × 1,460,786
  4. Step 4: Simplify right side
    965,572x = 2,133,895,737,796
  5. Step 5: Solve for x
    x = 2,133,895,737,796/965,572
  6. Step 6: Final answer
    x = 2,209,980.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.