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Finding the Third Proportional to 477,547 and 1,046,947

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Solution

The third proportional to 477,547 and 1,046,947 is: 2,295,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,547 : 1,046,947 = 1,046,947 : x
  2. Step 2: Convert to fraction form
    477,547/1,046,947 = 1,046,947/x
  3. Step 3: Cross multiply
    477,547x = 1,046,947 × 1,046,947
  4. Step 4: Simplify right side
    477,547x = 1,096,098,020,809
  5. Step 5: Solve for x
    x = 1,096,098,020,809/477,547
  6. Step 6: Final answer
    x = 2,295,267.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.