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Finding the Third Proportional to 712,648 and 1,045,640

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Solution

The third proportional to 712,648 and 1,045,640 is: 1,534,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,648 : 1,045,640 = 1,045,640 : x
  2. Step 2: Convert to fraction form
    712,648/1,045,640 = 1,045,640/x
  3. Step 3: Cross multiply
    712,648x = 1,045,640 × 1,045,640
  4. Step 4: Simplify right side
    712,648x = 1,093,363,009,600
  5. Step 5: Solve for x
    x = 1,093,363,009,600/712,648
  6. Step 6: Final answer
    x = 1,534,225.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.