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Finding the Third Proportional to 714,312 and 1,105,056

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Solution

The third proportional to 714,312 and 1,105,056 is: 1,709,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,312 : 1,105,056 = 1,105,056 : x
  2. Step 2: Convert to fraction form
    714,312/1,105,056 = 1,105,056/x
  3. Step 3: Cross multiply
    714,312x = 1,105,056 × 1,105,056
  4. Step 4: Simplify right side
    714,312x = 1,221,148,763,136
  5. Step 5: Solve for x
    x = 1,221,148,763,136/714,312
  6. Step 6: Final answer
    x = 1,709,545.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.