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Finding the Third Proportional to 947,574 and 1,547,139

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Solution

The third proportional to 947,574 and 1,547,139 is: 2,526,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,574 : 1,547,139 = 1,547,139 : x
  2. Step 2: Convert to fraction form
    947,574/1,547,139 = 1,547,139/x
  3. Step 3: Cross multiply
    947,574x = 1,547,139 × 1,547,139
  4. Step 4: Simplify right side
    947,574x = 2,393,639,085,321
  5. Step 5: Solve for x
    x = 2,393,639,085,321/947,574
  6. Step 6: Final answer
    x = 2,526,070.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.