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Finding the Third Proportional to 931,349 and 1,402,464

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Solution

The third proportional to 931,349 and 1,402,464 is: 2,111,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,349 : 1,402,464 = 1,402,464 : x
  2. Step 2: Convert to fraction form
    931,349/1,402,464 = 1,402,464/x
  3. Step 3: Cross multiply
    931,349x = 1,402,464 × 1,402,464
  4. Step 4: Simplify right side
    931,349x = 1,966,905,271,296
  5. Step 5: Solve for x
    x = 1,966,905,271,296/931,349
  6. Step 6: Final answer
    x = 2,111,888.53

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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.