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Finding the Third Proportional to 865,136 and 1,849,840

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Solution

The third proportional to 865,136 and 1,849,840 is: 3,955,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,136 : 1,849,840 = 1,849,840 : x
  2. Step 2: Convert to fraction form
    865,136/1,849,840 = 1,849,840/x
  3. Step 3: Cross multiply
    865,136x = 1,849,840 × 1,849,840
  4. Step 4: Simplify right side
    865,136x = 3,421,908,025,600
  5. Step 5: Solve for x
    x = 3,421,908,025,600/865,136
  6. Step 6: Final answer
    x = 3,955,341.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.