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Finding the Third Proportional to 1,012,547 and 1,478,829

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Solution

The third proportional to 1,012,547 and 1,478,829 is: 2,159,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,547 : 1,478,829 = 1,478,829 : x
  2. Step 2: Convert to fraction form
    1,012,547/1,478,829 = 1,478,829/x
  3. Step 3: Cross multiply
    1,012,547x = 1,478,829 × 1,478,829
  4. Step 4: Simplify right side
    1,012,547x = 2,186,935,211,241
  5. Step 5: Solve for x
    x = 2,186,935,211,241/1,012,547
  6. Step 6: Final answer
    x = 2,159,835.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.