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Finding the Third Proportional to 760,290 and 1,646,058

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Solution

The third proportional to 760,290 and 1,646,058 is: 3,563,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,290 : 1,646,058 = 1,646,058 : x
  2. Step 2: Convert to fraction form
    760,290/1,646,058 = 1,646,058/x
  3. Step 3: Cross multiply
    760,290x = 1,646,058 × 1,646,058
  4. Step 4: Simplify right side
    760,290x = 2,709,506,939,364
  5. Step 5: Solve for x
    x = 2,709,506,939,364/760,290
  6. Step 6: Final answer
    x = 3,563,780.85

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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.